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Simplifying 5(1 + 8m) = 8m + 37 (1 * 5 + 8m * 5) = 8m + 37 (5 + 40m) = 8m + 37 Reorder the terms: 5 + 40m = 37 + 8m Solving 5 + 40m = 37 + 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. 5 + 40m + -8m = 37 + 8m + -8m Combine like terms: 40m + -8m = 32m 5 + 32m = 37 + 8m + -8m Combine like terms: 8m + -8m = 0 5 + 32m = 37 + 0 5 + 32m = 37 Add '-5' to each side of the equation. 5 + -5 + 32m = 37 + -5 Combine like terms: 5 + -5 = 0 0 + 32m = 37 + -5 32m = 37 + -5 Combine like terms: 37 + -5 = 32 32m = 32 Divide each side by '32'. m = 1 Simplifying m = 1
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