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Simplifying 6(2m + 3) = 8(1 + m) Reorder the terms: 6(3 + 2m) = 8(1 + m) (3 * 6 + 2m * 6) = 8(1 + m) (18 + 12m) = 8(1 + m) 18 + 12m = (1 * 8 + m * 8) 18 + 12m = (8 + 8m) Solving 18 + 12m = 8 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 18 + 12m + -8m = 8 + 8m + -8m Combine like terms: 12m + -8m = 4m 18 + 4m = 8 + 8m + -8m Combine like terms: 8m + -8m = 0 18 + 4m = 8 + 0 18 + 4m = 8 Add '-18' to each side of the equation. 18 + -18 + 4m = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 4m = 8 + -18 4m = 8 + -18 Combine like terms: 8 + -18 = -10 4m = -10 Divide each side by '4'. m = -2.5 Simplifying m = -2.5
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