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Simplifying -9m + 60 + -2(m + -1) = 5m + -1(6m + -5) + -2m + 1 Reorder the terms: -9m + 60 + -2(-1 + m) = 5m + -1(6m + -5) + -2m + 1 -9m + 60 + (-1 * -2 + m * -2) = 5m + -1(6m + -5) + -2m + 1 -9m + 60 + (2 + -2m) = 5m + -1(6m + -5) + -2m + 1 Reorder the terms: 60 + 2 + -9m + -2m = 5m + -1(6m + -5) + -2m + 1 Combine like terms: 60 + 2 = 62 62 + -9m + -2m = 5m + -1(6m + -5) + -2m + 1 Combine like terms: -9m + -2m = -11m 62 + -11m = 5m + -1(6m + -5) + -2m + 1 Reorder the terms: 62 + -11m = 5m + -1(-5 + 6m) + -2m + 1 62 + -11m = 5m + (-5 * -1 + 6m * -1) + -2m + 1 62 + -11m = 5m + (5 + -6m) + -2m + 1 Reorder the terms: 62 + -11m = 5 + 1 + 5m + -6m + -2m Combine like terms: 5 + 1 = 6 62 + -11m = 6 + 5m + -6m + -2m Combine like terms: 5m + -6m = -1m 62 + -11m = 6 + -1m + -2m Combine like terms: -1m + -2m = -3m 62 + -11m = 6 + -3m Solving 62 + -11m = 6 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 62 + -11m + 3m = 6 + -3m + 3m Combine like terms: -11m + 3m = -8m 62 + -8m = 6 + -3m + 3m Combine like terms: -3m + 3m = 0 62 + -8m = 6 + 0 62 + -8m = 6 Add '-62' to each side of the equation. 62 + -62 + -8m = 6 + -62 Combine like terms: 62 + -62 = 0 0 + -8m = 6 + -62 -8m = 6 + -62 Combine like terms: 6 + -62 = -56 -8m = -56 Divide each side by '-8'. m = 7 Simplifying m = 7
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