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Simplifying 8(m + 3) = 36 + 6m Reorder the terms: 8(3 + m) = 36 + 6m (3 * 8 + m * 8) = 36 + 6m (24 + 8m) = 36 + 6m Solving 24 + 8m = 36 + 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. 24 + 8m + -6m = 36 + 6m + -6m Combine like terms: 8m + -6m = 2m 24 + 2m = 36 + 6m + -6m Combine like terms: 6m + -6m = 0 24 + 2m = 36 + 0 24 + 2m = 36 Add '-24' to each side of the equation. 24 + -24 + 2m = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 2m = 36 + -24 2m = 36 + -24 Combine like terms: 36 + -24 = 12 2m = 12 Divide each side by '2'. m = 6 Simplifying m = 6
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