2(m+1)-5(7-6m)=31(m-1)-6

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Solution for 2(m+1)-5(7-6m)=31(m-1)-6 equation:


Simplifying
2(m + 1) + -5(7 + -6m) = 31(m + -1) + -6

Reorder the terms:
2(1 + m) + -5(7 + -6m) = 31(m + -1) + -6
(1 * 2 + m * 2) + -5(7 + -6m) = 31(m + -1) + -6
(2 + 2m) + -5(7 + -6m) = 31(m + -1) + -6
2 + 2m + (7 * -5 + -6m * -5) = 31(m + -1) + -6
2 + 2m + (-35 + 30m) = 31(m + -1) + -6

Reorder the terms:
2 + -35 + 2m + 30m = 31(m + -1) + -6

Combine like terms: 2 + -35 = -33
-33 + 2m + 30m = 31(m + -1) + -6

Combine like terms: 2m + 30m = 32m
-33 + 32m = 31(m + -1) + -6

Reorder the terms:
-33 + 32m = 31(-1 + m) + -6
-33 + 32m = (-1 * 31 + m * 31) + -6
-33 + 32m = (-31 + 31m) + -6

Reorder the terms:
-33 + 32m = -31 + -6 + 31m

Combine like terms: -31 + -6 = -37
-33 + 32m = -37 + 31m

Solving
-33 + 32m = -37 + 31m

Solving for variable 'm'.

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

Add '-31m' to each side of the equation.
-33 + 32m + -31m = -37 + 31m + -31m

Combine like terms: 32m + -31m = 1m
-33 + 1m = -37 + 31m + -31m

Combine like terms: 31m + -31m = 0
-33 + 1m = -37 + 0
-33 + 1m = -37

Add '33' to each side of the equation.
-33 + 33 + 1m = -37 + 33

Combine like terms: -33 + 33 = 0
0 + 1m = -37 + 33
1m = -37 + 33

Combine like terms: -37 + 33 = -4
1m = -4

Divide each side by '1'.
m = -4

Simplifying
m = -4

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