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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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