-9(m-2)-6(8m-9)=-58(m-1)-1

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Solution for -9(m-2)-6(8m-9)=-58(m-1)-1 equation:


Simplifying
-9(m + -2) + -6(8m + -9) = -58(m + -1) + -1

Reorder the terms:
-9(-2 + m) + -6(8m + -9) = -58(m + -1) + -1
(-2 * -9 + m * -9) + -6(8m + -9) = -58(m + -1) + -1
(18 + -9m) + -6(8m + -9) = -58(m + -1) + -1

Reorder the terms:
18 + -9m + -6(-9 + 8m) = -58(m + -1) + -1
18 + -9m + (-9 * -6 + 8m * -6) = -58(m + -1) + -1
18 + -9m + (54 + -48m) = -58(m + -1) + -1

Reorder the terms:
18 + 54 + -9m + -48m = -58(m + -1) + -1

Combine like terms: 18 + 54 = 72
72 + -9m + -48m = -58(m + -1) + -1

Combine like terms: -9m + -48m = -57m
72 + -57m = -58(m + -1) + -1

Reorder the terms:
72 + -57m = -58(-1 + m) + -1
72 + -57m = (-1 * -58 + m * -58) + -1
72 + -57m = (58 + -58m) + -1

Reorder the terms:
72 + -57m = 58 + -1 + -58m

Combine like terms: 58 + -1 = 57
72 + -57m = 57 + -58m

Solving
72 + -57m = 57 + -58m

Solving for variable 'm'.

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

Add '58m' to each side of the equation.
72 + -57m + 58m = 57 + -58m + 58m

Combine like terms: -57m + 58m = 1m
72 + 1m = 57 + -58m + 58m

Combine like terms: -58m + 58m = 0
72 + 1m = 57 + 0
72 + 1m = 57

Add '-72' to each side of the equation.
72 + -72 + 1m = 57 + -72

Combine like terms: 72 + -72 = 0
0 + 1m = 57 + -72
1m = 57 + -72

Combine like terms: 57 + -72 = -15
1m = -15

Divide each side by '1'.
m = -15

Simplifying
m = -15

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