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Simplifying 6(m + -2) = 2(m + 4) Reorder the terms: 6(-2 + m) = 2(m + 4) (-2 * 6 + m * 6) = 2(m + 4) (-12 + 6m) = 2(m + 4) Reorder the terms: -12 + 6m = 2(4 + m) -12 + 6m = (4 * 2 + m * 2) -12 + 6m = (8 + 2m) Solving -12 + 6m = 8 + 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. -12 + 6m + -2m = 8 + 2m + -2m Combine like terms: 6m + -2m = 4m -12 + 4m = 8 + 2m + -2m Combine like terms: 2m + -2m = 0 -12 + 4m = 8 + 0 -12 + 4m = 8 Add '12' to each side of the equation. -12 + 12 + 4m = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 4m = 8 + 12 4m = 8 + 12 Combine like terms: 8 + 12 = 20 4m = 20 Divide each side by '4'. m = 5 Simplifying m = 5
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