7(m-21)-5(4m-26)=35

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Solution for 7(m-21)-5(4m-26)=35 equation: 


Simplifying
7(m + -21) + -5(4m + -26) = 35

Reorder the terms:
7(-21 + m) + -5(4m + -26) = 35
(-21 * 7 + m * 7) + -5(4m + -26) = 35
(-147 + 7m) + -5(4m + -26) = 35

Reorder the terms:
-147 + 7m + -5(-26 + 4m) = 35
-147 + 7m + (-26 * -5 + 4m * -5) = 35
-147 + 7m + (130 + -20m) = 35

Reorder the terms:
-147 + 130 + 7m + -20m = 35

Combine like terms: -147 + 130 = -17
-17 + 7m + -20m = 35

Combine like terms: 7m + -20m = -13m
-17 + -13m = 35

Solving
-17 + -13m = 35

Solving for variable 'm'.

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

Add '17' to each side of the equation.
-17 + 17 + -13m = 35 + 17

Combine like terms: -17 + 17 = 0
0 + -13m = 35 + 17
-13m = 35 + 17

Combine like terms: 35 + 17 = 52
-13m = 52

Divide each side by '-13'.
m = -4

Simplifying
m = -4

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