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Simplifying 6(1 + 3m) = 8(-2m + 5) (1 * 6 + 3m * 6) = 8(-2m + 5) (6 + 18m) = 8(-2m + 5) Reorder the terms: 6 + 18m = 8(5 + -2m) 6 + 18m = (5 * 8 + -2m * 8) 6 + 18m = (40 + -16m) Solving 6 + 18m = 40 + -16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16m' to each side of the equation. 6 + 18m + 16m = 40 + -16m + 16m Combine like terms: 18m + 16m = 34m 6 + 34m = 40 + -16m + 16m Combine like terms: -16m + 16m = 0 6 + 34m = 40 + 0 6 + 34m = 40 Add '-6' to each side of the equation. 6 + -6 + 34m = 40 + -6 Combine like terms: 6 + -6 = 0 0 + 34m = 40 + -6 34m = 40 + -6 Combine like terms: 40 + -6 = 34 34m = 34 Divide each side by '34'. m = 1 Simplifying m = 1
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