8(2m-4)+20(m-5)=4m+5(5m-20)-32+7m

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Solution for 8(2m-4)+20(m-5)=4m+5(5m-20)-32+7m equation: 


Simplifying
8(2m + -4) + 20(m + -5) = 4m + 5(5m + -20) + -32 + 7m

Reorder the terms:
8(-4 + 2m) + 20(m + -5) = 4m + 5(5m + -20) + -32 + 7m
(-4 * 8 + 2m * 8) + 20(m + -5) = 4m + 5(5m + -20) + -32 + 7m
(-32 + 16m) + 20(m + -5) = 4m + 5(5m + -20) + -32 + 7m

Reorder the terms:
-32 + 16m + 20(-5 + m) = 4m + 5(5m + -20) + -32 + 7m
-32 + 16m + (-5 * 20 + m * 20) = 4m + 5(5m + -20) + -32 + 7m
-32 + 16m + (-100 + 20m) = 4m + 5(5m + -20) + -32 + 7m

Reorder the terms:
-32 + -100 + 16m + 20m = 4m + 5(5m + -20) + -32 + 7m

Combine like terms: -32 + -100 = -132
-132 + 16m + 20m = 4m + 5(5m + -20) + -32 + 7m

Combine like terms: 16m + 20m = 36m
-132 + 36m = 4m + 5(5m + -20) + -32 + 7m

Reorder the terms:
-132 + 36m = 4m + 5(-20 + 5m) + -32 + 7m
-132 + 36m = 4m + (-20 * 5 + 5m * 5) + -32 + 7m
-132 + 36m = 4m + (-100 + 25m) + -32 + 7m

Reorder the terms:
-132 + 36m = -100 + -32 + 4m + 25m + 7m

Combine like terms: -100 + -32 = -132
-132 + 36m = -132 + 4m + 25m + 7m

Combine like terms: 4m + 25m = 29m
-132 + 36m = -132 + 29m + 7m

Combine like terms: 29m + 7m = 36m
-132 + 36m = -132 + 36m

Add '132' to each side of the equation.
-132 + 132 + 36m = -132 + 132 + 36m

Combine like terms: -132 + 132 = 0
0 + 36m = -132 + 132 + 36m
36m = -132 + 132 + 36m

Combine like terms: -132 + 132 = 0
36m = 0 + 36m
36m = 36m

Add '-36m' to each side of the equation.
36m + -36m = 36m + -36m

Combine like terms: 36m + -36m = 0
0 = 36m + -36m

Combine like terms: 36m + -36m = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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