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Simplifying (2m + -4) * 3 = 8(2m + 1) Reorder the terms: (-4 + 2m) * 3 = 8(2m + 1) Reorder the terms for easier multiplication: 3(-4 + 2m) = 8(2m + 1) (-4 * 3 + 2m * 3) = 8(2m + 1) (-12 + 6m) = 8(2m + 1) Reorder the terms: -12 + 6m = 8(1 + 2m) -12 + 6m = (1 * 8 + 2m * 8) -12 + 6m = (8 + 16m) Solving -12 + 6m = 8 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. -12 + 6m + -16m = 8 + 16m + -16m Combine like terms: 6m + -16m = -10m -12 + -10m = 8 + 16m + -16m Combine like terms: 16m + -16m = 0 -12 + -10m = 8 + 0 -12 + -10m = 8 Add '12' to each side of the equation. -12 + 12 + -10m = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -10m = 8 + 12 -10m = 8 + 12 Combine like terms: 8 + 12 = 20 -10m = 20 Divide each side by '-10'. m = -2 Simplifying m = -2
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