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Simplifying -3m + 53 + -9(m + -1) = 7m + -1(9m + -8) + -2m + 6 Reorder the terms: -3m + 53 + -9(-1 + m) = 7m + -1(9m + -8) + -2m + 6 -3m + 53 + (-1 * -9 + m * -9) = 7m + -1(9m + -8) + -2m + 6 -3m + 53 + (9 + -9m) = 7m + -1(9m + -8) + -2m + 6 Reorder the terms: 53 + 9 + -3m + -9m = 7m + -1(9m + -8) + -2m + 6 Combine like terms: 53 + 9 = 62 62 + -3m + -9m = 7m + -1(9m + -8) + -2m + 6 Combine like terms: -3m + -9m = -12m 62 + -12m = 7m + -1(9m + -8) + -2m + 6 Reorder the terms: 62 + -12m = 7m + -1(-8 + 9m) + -2m + 6 62 + -12m = 7m + (-8 * -1 + 9m * -1) + -2m + 6 62 + -12m = 7m + (8 + -9m) + -2m + 6 Reorder the terms: 62 + -12m = 8 + 6 + 7m + -9m + -2m Combine like terms: 8 + 6 = 14 62 + -12m = 14 + 7m + -9m + -2m Combine like terms: 7m + -9m = -2m 62 + -12m = 14 + -2m + -2m Combine like terms: -2m + -2m = -4m 62 + -12m = 14 + -4m Solving 62 + -12m = 14 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 62 + -12m + 4m = 14 + -4m + 4m Combine like terms: -12m + 4m = -8m 62 + -8m = 14 + -4m + 4m Combine like terms: -4m + 4m = 0 62 + -8m = 14 + 0 62 + -8m = 14 Add '-62' to each side of the equation. 62 + -62 + -8m = 14 + -62 Combine like terms: 62 + -62 = 0 0 + -8m = 14 + -62 -8m = 14 + -62 Combine like terms: 14 + -62 = -48 -8m = -48 Divide each side by '-8'. m = 6 Simplifying m = 6
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