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Simplifying 8(1 + 4m) + -5 = 3 + 8m (1 * 8 + 4m * 8) + -5 = 3 + 8m (8 + 32m) + -5 = 3 + 8m Reorder the terms: 8 + -5 + 32m = 3 + 8m Combine like terms: 8 + -5 = 3 3 + 32m = 3 + 8m Add '-3' to each side of the equation. 3 + -3 + 32m = 3 + -3 + 8m Combine like terms: 3 + -3 = 0 0 + 32m = 3 + -3 + 8m 32m = 3 + -3 + 8m Combine like terms: 3 + -3 = 0 32m = 0 + 8m 32m = 8m Solving 32m = 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. 32m + -8m = 8m + -8m Combine like terms: 32m + -8m = 24m 24m = 8m + -8m Combine like terms: 8m + -8m = 0 24m = 0 Divide each side by '24'. m = 0 Simplifying m = 0
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