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

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


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

Reorder the terms:
5(-7 + m) + 2(8m + 5) = 20(m + -2) + -4
(-7 * 5 + m * 5) + 2(8m + 5) = 20(m + -2) + -4
(-35 + 5m) + 2(8m + 5) = 20(m + -2) + -4

Reorder the terms:
-35 + 5m + 2(5 + 8m) = 20(m + -2) + -4
-35 + 5m + (5 * 2 + 8m * 2) = 20(m + -2) + -4
-35 + 5m + (10 + 16m) = 20(m + -2) + -4

Reorder the terms:
-35 + 10 + 5m + 16m = 20(m + -2) + -4

Combine like terms: -35 + 10 = -25
-25 + 5m + 16m = 20(m + -2) + -4

Combine like terms: 5m + 16m = 21m
-25 + 21m = 20(m + -2) + -4

Reorder the terms:
-25 + 21m = 20(-2 + m) + -4
-25 + 21m = (-2 * 20 + m * 20) + -4
-25 + 21m = (-40 + 20m) + -4

Reorder the terms:
-25 + 21m = -40 + -4 + 20m

Combine like terms: -40 + -4 = -44
-25 + 21m = -44 + 20m

Solving
-25 + 21m = -44 + 20m

Solving for variable 'm'.

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

Add '-20m' to each side of the equation.
-25 + 21m + -20m = -44 + 20m + -20m

Combine like terms: 21m + -20m = 1m
-25 + 1m = -44 + 20m + -20m

Combine like terms: 20m + -20m = 0
-25 + 1m = -44 + 0
-25 + 1m = -44

Add '25' to each side of the equation.
-25 + 25 + 1m = -44 + 25

Combine like terms: -25 + 25 = 0
0 + 1m = -44 + 25
1m = -44 + 25

Combine like terms: -44 + 25 = -19
1m = -19

Divide each side by '1'.
m = -19

Simplifying
m = -19

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