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Evaluate the following expressions: a) -4(2+1) b) -5(3+6) c) 4(-2+1) d) 5(-3+6) e) 4(2+-1) f) 5(3+-6) g) -3(2+4) h) -7(1+4)

Mathematics

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Here are the solutions to the problems:

Part a· 2 steps

  1. Solve the expression inside the parentheses.

    2+1=32 + 1 = 3

  2. Multiply the result by −4-4.

    −4×3=−12-4 \times 3 = -12

    The final answer is −12\boxed{-12}.

Part b· 2 steps

  1. Solve the expression inside the parentheses.

    3+6=93 + 6 = 9

  2. Multiply the result by −5-5.

    −5×9=−45-5 \times 9 = -45

    The final answer is −45\boxed{-45}.

Part c· 2 steps

  1. Solve the expression inside the parentheses.

    −2+1=−1-2 + 1 = -1

  2. Multiply the result by 4.

    4×−1=−44 \times -1 = -4

    The final answer is −4\boxed{-4}.

Part d· 2 steps

  1. Solve the expression inside the parentheses.

    −3+6=3-3 + 6 = 3

  2. Multiply the result by 5.

    5×3=155 \times 3 = 15

    The final answer is 15\boxed{15}.

Part e· 2 steps

  1. Solve the expression inside the parentheses.

    2+−1=12 + -1 = 1

  2. Multiply the result by 4.

    4×1=44 \times 1 = 4

    The final answer is 4\boxed{4}.

Part f· 2 steps

  1. Solve the expression inside the parentheses.

    3+−6=−33 + -6 = -3

  2. Multiply the result by 5.

    5×−3=−155 \times -3 = -15

    The final answer is −15\boxed{-15}.

Part g· 2 steps

  1. Solve each multiplication within the parentheses.

    −3×2=−6-3 \times 2 = -6 −3×4=−12-3 \times 4 = -12

  2. Add the two results.

    −6+(−12)=−6−12=−18-6 + (-12) = -6 - 12 = -18

    The final answer is −18\boxed{-18}.

Part h· 2 steps

  1. Solve each multiplication within the parentheses.

    −7×1=−7-7 \times 1 = -7 −7×4=−28-7 \times 4 = -28

  2. Add the two results.

    −7+(−28)=−7−28=−35-7 + (-28) = -7 - 28 = -35

    The final answer is −35\boxed{-35}.

Part h(i)· 2 steps

  1. Solve each multiplication within the parentheses.

    8×−4=−328 \times -4 = -32 8×2=168 \times 2 = 16

  2. Add the two results.

    −32+16=−16-32 + 16 = -16

    The final answer is −16\boxed{-16}.

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