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