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Simplifying -8m + 73 + -6(m + -3) = 9m + -1(2m + -6) + -5m + 5 Reorder the terms: -8m + 73 + -6(-3 + m) = 9m + -1(2m + -6) + -5m + 5 -8m + 73 + (-3 * -6 + m * -6) = 9m + -1(2m + -6) + -5m + 5 -8m + 73 + (18 + -6m) = 9m + -1(2m + -6) + -5m + 5 Reorder the terms: 73 + 18 + -8m + -6m = 9m + -1(2m + -6) + -5m + 5 Combine like terms: 73 + 18 = 91 91 + -8m + -6m = 9m + -1(2m + -6) + -5m + 5 Combine like terms: -8m + -6m = -14m 91 + -14m = 9m + -1(2m + -6) + -5m + 5 Reorder the terms: 91 + -14m = 9m + -1(-6 + 2m) + -5m + 5 91 + -14m = 9m + (-6 * -1 + 2m * -1) + -5m + 5 91 + -14m = 9m + (6 + -2m) + -5m + 5 Reorder the terms: 91 + -14m = 6 + 5 + 9m + -2m + -5m Combine like terms: 6 + 5 = 11 91 + -14m = 11 + 9m + -2m + -5m Combine like terms: 9m + -2m = 7m 91 + -14m = 11 + 7m + -5m Combine like terms: 7m + -5m = 2m 91 + -14m = 11 + 2m Solving 91 + -14m = 11 + 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. 91 + -14m + -2m = 11 + 2m + -2m Combine like terms: -14m + -2m = -16m 91 + -16m = 11 + 2m + -2m Combine like terms: 2m + -2m = 0 91 + -16m = 11 + 0 91 + -16m = 11 Add '-91' to each side of the equation. 91 + -91 + -16m = 11 + -91 Combine like terms: 91 + -91 = 0 0 + -16m = 11 + -91 -16m = 11 + -91 Combine like terms: 11 + -91 = -80 -16m = -80 Divide each side by '-16'. m = 5 Simplifying m = 5
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