-9m+52-9(m-2)=8m-(6m-5)-4m+1

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Solution for -9m+52-9(m-2)=8m-(6m-5)-4m+1 equation:


Simplifying
-9m + 52 + -9(m + -2) = 8m + -1(6m + -5) + -4m + 1

Reorder the terms:
-9m + 52 + -9(-2 + m) = 8m + -1(6m + -5) + -4m + 1
-9m + 52 + (-2 * -9 + m * -9) = 8m + -1(6m + -5) + -4m + 1
-9m + 52 + (18 + -9m) = 8m + -1(6m + -5) + -4m + 1

Reorder the terms:
52 + 18 + -9m + -9m = 8m + -1(6m + -5) + -4m + 1

Combine like terms: 52 + 18 = 70
70 + -9m + -9m = 8m + -1(6m + -5) + -4m + 1

Combine like terms: -9m + -9m = -18m
70 + -18m = 8m + -1(6m + -5) + -4m + 1

Reorder the terms:
70 + -18m = 8m + -1(-5 + 6m) + -4m + 1
70 + -18m = 8m + (-5 * -1 + 6m * -1) + -4m + 1
70 + -18m = 8m + (5 + -6m) + -4m + 1

Reorder the terms:
70 + -18m = 5 + 1 + 8m + -6m + -4m

Combine like terms: 5 + 1 = 6
70 + -18m = 6 + 8m + -6m + -4m

Combine like terms: 8m + -6m = 2m
70 + -18m = 6 + 2m + -4m

Combine like terms: 2m + -4m = -2m
70 + -18m = 6 + -2m

Solving
70 + -18m = 6 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
70 + -18m + 2m = 6 + -2m + 2m

Combine like terms: -18m + 2m = -16m
70 + -16m = 6 + -2m + 2m

Combine like terms: -2m + 2m = 0
70 + -16m = 6 + 0
70 + -16m = 6

Add '-70' to each side of the equation.
70 + -70 + -16m = 6 + -70

Combine like terms: 70 + -70 = 0
0 + -16m = 6 + -70
-16m = 6 + -70

Combine like terms: 6 + -70 = -64
-16m = -64

Divide each side by '-16'.
m = 4

Simplifying
m = 4

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