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Simplifying 6(m + 8) = 12 + -6m Reorder the terms: 6(8 + m) = 12 + -6m (8 * 6 + m * 6) = 12 + -6m (48 + 6m) = 12 + -6m Solving 48 + 6m = 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. 48 + 6m + 6m = 12 + -6m + 6m Combine like terms: 6m + 6m = 12m 48 + 12m = 12 + -6m + 6m Combine like terms: -6m + 6m = 0 48 + 12m = 12 + 0 48 + 12m = 12 Add '-48' to each side of the equation. 48 + -48 + 12m = 12 + -48 Combine like terms: 48 + -48 = 0 0 + 12m = 12 + -48 12m = 12 + -48 Combine like terms: 12 + -48 = -36 12m = -36 Divide each side by '12'. m = -3 Simplifying m = -3
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