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Simplifying -6m + 48 + -8(m + -2) = 4m + -1(3m + -5) + -2m + 7 Reorder the terms: -6m + 48 + -8(-2 + m) = 4m + -1(3m + -5) + -2m + 7 -6m + 48 + (-2 * -8 + m * -8) = 4m + -1(3m + -5) + -2m + 7 -6m + 48 + (16 + -8m) = 4m + -1(3m + -5) + -2m + 7 Reorder the terms: 48 + 16 + -6m + -8m = 4m + -1(3m + -5) + -2m + 7 Combine like terms: 48 + 16 = 64 64 + -6m + -8m = 4m + -1(3m + -5) + -2m + 7 Combine like terms: -6m + -8m = -14m 64 + -14m = 4m + -1(3m + -5) + -2m + 7 Reorder the terms: 64 + -14m = 4m + -1(-5 + 3m) + -2m + 7 64 + -14m = 4m + (-5 * -1 + 3m * -1) + -2m + 7 64 + -14m = 4m + (5 + -3m) + -2m + 7 Reorder the terms: 64 + -14m = 5 + 7 + 4m + -3m + -2m Combine like terms: 5 + 7 = 12 64 + -14m = 12 + 4m + -3m + -2m Combine like terms: 4m + -3m = 1m 64 + -14m = 12 + 1m + -2m Combine like terms: 1m + -2m = -1m 64 + -14m = 12 + -1m Solving 64 + -14m = 12 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 64 + -14m + m = 12 + -1m + m Combine like terms: -14m + m = -13m 64 + -13m = 12 + -1m + m Combine like terms: -1m + m = 0 64 + -13m = 12 + 0 64 + -13m = 12 Add '-64' to each side of the equation. 64 + -64 + -13m = 12 + -64 Combine like terms: 64 + -64 = 0 0 + -13m = 12 + -64 -13m = 12 + -64 Combine like terms: 12 + -64 = -52 -13m = -52 Divide each side by '-13'. m = 4 Simplifying m = 4
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