2(1-7m)+5(5m-7)=-55

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Solution for 2(1-7m)+5(5m-7)=-55 equation: 


Simplifying
2(1 + -7m) + 5(5m + -7) = -55
(1 * 2 + -7m * 2) + 5(5m + -7) = -55
(2 + -14m) + 5(5m + -7) = -55

Reorder the terms:
2 + -14m + 5(-7 + 5m) = -55
2 + -14m + (-7 * 5 + 5m * 5) = -55
2 + -14m + (-35 + 25m) = -55

Reorder the terms:
2 + -35 + -14m + 25m = -55

Combine like terms: 2 + -35 = -33
-33 + -14m + 25m = -55

Combine like terms: -14m + 25m = 11m
-33 + 11m = -55

Solving
-33 + 11m = -55

Solving for variable 'm'.

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

Add '33' to each side of the equation.
-33 + 33 + 11m = -55 + 33

Combine like terms: -33 + 33 = 0
0 + 11m = -55 + 33
11m = -55 + 33

Combine like terms: -55 + 33 = -22
11m = -22

Divide each side by '11'.
m = -2

Simplifying
m = -2

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