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Simplifying 8 + 5(3 + 8m) = -257 8 + (3 * 5 + 8m * 5) = -257 8 + (15 + 40m) = -257 Combine like terms: 8 + 15 = 23 23 + 40m = -257 Solving 23 + 40m = -257 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 40m = -257 + -23 Combine like terms: 23 + -23 = 0 0 + 40m = -257 + -23 40m = -257 + -23 Combine like terms: -257 + -23 = -280 40m = -280 Divide each side by '40'. m = -7 Simplifying m = -7
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