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Simplifying 8 + 5(2m + -3) = 29 + -2m Reorder the terms: 8 + 5(-3 + 2m) = 29 + -2m 8 + (-3 * 5 + 2m * 5) = 29 + -2m 8 + (-15 + 10m) = 29 + -2m Combine like terms: 8 + -15 = -7 -7 + 10m = 29 + -2m Solving -7 + 10m = 29 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -7 + 10m + 2m = 29 + -2m + 2m Combine like terms: 10m + 2m = 12m -7 + 12m = 29 + -2m + 2m Combine like terms: -2m + 2m = 0 -7 + 12m = 29 + 0 -7 + 12m = 29 Add '7' to each side of the equation. -7 + 7 + 12m = 29 + 7 Combine like terms: -7 + 7 = 0 0 + 12m = 29 + 7 12m = 29 + 7 Combine like terms: 29 + 7 = 36 12m = 36 Divide each side by '12'. m = 3 Simplifying m = 3
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