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Find the sum, solution, and product of the following problems:

Mathematics

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Step-by-step solution

16 steps

Here are the solutions to the problems.

Question 1: Find the sum of;

a)

  1. Add the numbers.

    (+8)+(7)=8+7=15(+8) + (7) = 8 + 7 = 15

    The sum is 15\boxed{15}.

    b)

  2. Add the numbers.

    (+12)+(−4)=12−4=8(+12) + (-4) = 12 - 4 = 8

    The sum is 8\boxed{8}.

    c)

  3. Add the numbers.

    (−12)+(−26)=−12−26=−38(-12) + (-26) = -12 - 26 = -38

    The sum is −38\boxed{-38}.

    d)

  4. Add the numbers.

    (25)+(−20)=25−20=5(25) + (-20) = 25 - 20 = 5

    The sum is 5\boxed{5}.

    Question 2: Find the solutions to the following:

    a)

  5. Perform the operations from left to right.

    (12)+(−8)+(3)=12−8+3(12) + (-8) + (3) = 12 - 8 + 3
  6. Simplify.

    4+3=74 + 3 = 7

    The solution is 7\boxed{7}.

    b)

  7. Perform the operations from left to right.

    (8)−(5)+(25)=8−5+25(8) - (5) + (25) = 8 - 5 + 25
  8. Simplify.

    3+25=283 + 25 = 28

    The solution is 28\boxed{28}.

    c)

  9. Perform the operations from left to right.

    (−30)−(+8)−(−4)=−30−8+4(-30) - (+8) - (-4) = -30 - 8 + 4
  10. Simplify.

    −38+4=−34-38 + 4 = -34

    The solution is −34\boxed{-34}.

    d)

  11. Perform the operations from left to right.

    (145)+(−47)−(28)=145−47−28(145) + (-47) - (28) = 145 - 47 - 28
  12. Simplify.

    98−28=7098 - 28 = 70

    The solution is 70\boxed{70}.

    Question 3: Solve the following multiplication problems:

    a)

  13. Multiply the numbers from left to right.

    (6)×(−2)×(9)=−12×9(6) \times (-2) \times (9) = -12 \times 9
  14. Simplify.

    −108-108

    The product is −108\boxed{-108}.

    b)

  15. Multiply the numbers from left to right.

    (−4)×(−12)×(−7)=(48)×(−7)(-4) \times (-12) \times (-7) = (48) \times (-7)
  16. Simplify.

    −336-336

    The product is −336\boxed{-336}.

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