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Simplifying 8(1 + 3m) + 3m = -40 + 3m (1 * 8 + 3m * 8) + 3m = -40 + 3m (8 + 24m) + 3m = -40 + 3m Combine like terms: 24m + 3m = 27m 8 + 27m = -40 + 3m Solving 8 + 27m = -40 + 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 + 27m + -3m = -40 + 3m + -3m Combine like terms: 27m + -3m = 24m 8 + 24m = -40 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + 24m = -40 + 0 8 + 24m = -40 Add '-8' to each side of the equation. 8 + -8 + 24m = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 24m = -40 + -8 24m = -40 + -8 Combine like terms: -40 + -8 = -48 24m = -48 Divide each side by '24'. m = -2 Simplifying m = -2
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