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Simplifying 6(m + 0.5) = 8m Reorder the terms: 6(0.5 + m) = 8m (0.5 * 6 + m * 6) = 8m (3 + 6m) = 8m Solving 3 + 6m = 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. 3 + 6m + -8m = 8m + -8m Combine like terms: 6m + -8m = -2m 3 + -2m = 8m + -8m Combine like terms: 8m + -8m = 0 3 + -2m = 0 Add '-3' to each side of the equation. 3 + -3 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5
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