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Simplifying 8(1 + 4m) = 3(m + -8) + 3 (1 * 8 + 4m * 8) = 3(m + -8) + 3 (8 + 32m) = 3(m + -8) + 3 Reorder the terms: 8 + 32m = 3(-8 + m) + 3 8 + 32m = (-8 * 3 + m * 3) + 3 8 + 32m = (-24 + 3m) + 3 Reorder the terms: 8 + 32m = -24 + 3 + 3m Combine like terms: -24 + 3 = -21 8 + 32m = -21 + 3m Solving 8 + 32m = -21 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 8 + 32m + -3m = -21 + 3m + -3m Combine like terms: 32m + -3m = 29m 8 + 29m = -21 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + 29m = -21 + 0 8 + 29m = -21 Add '-8' to each side of the equation. 8 + -8 + 29m = -21 + -8 Combine like terms: 8 + -8 = 0 0 + 29m = -21 + -8 29m = -21 + -8 Combine like terms: -21 + -8 = -29 29m = -29 Divide each side by '29'. m = -1 Simplifying m = -1
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