7(m-17)-4(4m-28)=56

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Solution for 7(m-17)-4(4m-28)=56 equation:


Simplifying
7(m + -17) + -4(4m + -28) = 56

Reorder the terms:
7(-17 + m) + -4(4m + -28) = 56
(-17 * 7 + m * 7) + -4(4m + -28) = 56
(-119 + 7m) + -4(4m + -28) = 56

Reorder the terms:
-119 + 7m + -4(-28 + 4m) = 56
-119 + 7m + (-28 * -4 + 4m * -4) = 56
-119 + 7m + (112 + -16m) = 56

Reorder the terms:
-119 + 112 + 7m + -16m = 56

Combine like terms: -119 + 112 = -7
-7 + 7m + -16m = 56

Combine like terms: 7m + -16m = -9m
-7 + -9m = 56

Solving
-7 + -9m = 56

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -9m = 56 + 7

Combine like terms: -7 + 7 = 0
0 + -9m = 56 + 7
-9m = 56 + 7

Combine like terms: 56 + 7 = 63
-9m = 63

Divide each side by '-9'.
m = -7

Simplifying
m = -7

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