(7m-17)-4(4m-28)=2

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Solution for (7m-17)-4(4m-28)=2 equation:


Simplifying
(7m + -17) + -4(4m + -28) = 2

Reorder the terms:
(-17 + 7m) + -4(4m + -28) = 2

Remove parenthesis around (-17 + 7m)
-17 + 7m + -4(4m + -28) = 2

Reorder the terms:
-17 + 7m + -4(-28 + 4m) = 2
-17 + 7m + (-28 * -4 + 4m * -4) = 2
-17 + 7m + (112 + -16m) = 2

Reorder the terms:
-17 + 112 + 7m + -16m = 2

Combine like terms: -17 + 112 = 95
95 + 7m + -16m = 2

Combine like terms: 7m + -16m = -9m
95 + -9m = 2

Solving
95 + -9m = 2

Solving for variable 'm'.

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

Add '-95' to each side of the equation.
95 + -95 + -9m = 2 + -95

Combine like terms: 95 + -95 = 0
0 + -9m = 2 + -95
-9m = 2 + -95

Combine like terms: 2 + -95 = -93
-9m = -93

Divide each side by '-9'.
m = 10.33333333

Simplifying
m = 10.33333333

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