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Solve the following arithmetic expressions: a) -6 + (4 + 2) b) 3 + 7 + (-5) c) -2 + (6 + 4) d) -3 + 7 + 5 e) -4 + (6 + 2) f) 3 + (-7) + 5 g) -9 + (3 + 11) h) -10 + (12 + 13) i) ...

Mathematics

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20 steps

Here are the solutions to the problems:

Part a· 2 steps

  1. Solve the expression inside the parentheses.

    4+2=64 + 2 = 6

  2. Add the result to −6-6.

    −6+6=0-6 + 6 = 0

    The final answer is 0\boxed{\text{0}}.

Part b· 2 steps

  1. Add the numbers from left to right.

    3+7+(−5)=10+(−5)3 + 7 + (-5) = 10 + (-5)

  2. Perform the addition.

    10−5=510 - 5 = 5

    The final answer is 5\boxed{\text{5}}.

Part c· 2 steps

  1. Solve the expression inside the parentheses.

    6+4=106 + 4 = 10

  2. Add the result to −2-2.

    10+(−2)=10−2=810 + (-2) = 10 - 2 = 8

    The final answer is 8\boxed{\text{8}}.

Part d· 2 steps

  1. Add the numbers from left to right.

    −3+7+5=4+5-3 + 7 + 5 = 4 + 5

  2. Perform the addition.

    4+5=94 + 5 = 9

    The final answer is 9\boxed{\text{9}}.

Part e· 2 steps

  1. Solve the expression inside the parentheses.

    6+2=86 + 2 = 8

  2. Add the result to −4-4.

    −4+8=4-4 + 8 = 4

    The final answer is 4\boxed{\text{4}}.

Part f· 2 steps

  1. Add the numbers from left to right.

    3+(−7)+5=−4+53 + (-7) + 5 = -4 + 5

  2. Perform the addition.

    −4+5=1-4 + 5 = 1

    The final answer is 1\boxed{\text{1}}.

Part g· 2 steps

  1. Solve the expression inside the parentheses.

    3+11=143 + 11 = 14

  2. Add the result to −9-9.

    −9+14=5-9 + 14 = 5

    The final answer is 5\boxed{\text{5}}.

Part h· 2 steps

  1. Solve the expression inside the parentheses.

    12+13=2512 + 13 = 25

  2. Add the result to −10-10.

    25+(−10)=25−10=1525 + (-10) = 25 - 10 = 15

    The final answer is 15\boxed{\text{15}}.

Part h(i)· 4 steps

  1. Solve the expression inside the parentheses.

    9+11=209 + 11 = 20

  2. Add the result to −3-3.

    −3+20=17-3 + 20 = 17

    The final answer is 17\boxed{\text{17}}.

    j)

  3. Solve the expression inside the parentheses.

    13+10=2313 + 10 = 23

  4. Add the result to −12-12.

    −12+23=11-12 + 23 = 11

    The final answer is 11\boxed{\text{11}}.

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