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Simplifying 5(3 + m) + 2(-1m + 5) = -8 + 5m + m (3 * 5 + m * 5) + 2(-1m + 5) = -8 + 5m + m (15 + 5m) + 2(-1m + 5) = -8 + 5m + m Reorder the terms: 15 + 5m + 2(5 + -1m) = -8 + 5m + m 15 + 5m + (5 * 2 + -1m * 2) = -8 + 5m + m 15 + 5m + (10 + -2m) = -8 + 5m + m Reorder the terms: 15 + 10 + 5m + -2m = -8 + 5m + m Combine like terms: 15 + 10 = 25 25 + 5m + -2m = -8 + 5m + m Combine like terms: 5m + -2m = 3m 25 + 3m = -8 + 5m + m Combine like terms: 5m + m = 6m 25 + 3m = -8 + 6m Solving 25 + 3m = -8 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 25 + 3m + -6m = -8 + 6m + -6m Combine like terms: 3m + -6m = -3m 25 + -3m = -8 + 6m + -6m Combine like terms: 6m + -6m = 0 25 + -3m = -8 + 0 25 + -3m = -8 Add '-25' to each side of the equation. 25 + -25 + -3m = -8 + -25 Combine like terms: 25 + -25 = 0 0 + -3m = -8 + -25 -3m = -8 + -25 Combine like terms: -8 + -25 = -33 -3m = -33 Divide each side by '-3'. m = 11 Simplifying m = 11
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