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Simplifying 5(m + 17) + -8(m + 1) + -2 = 0 Reorder the terms: 5(17 + m) + -8(m + 1) + -2 = 0 (17 * 5 + m * 5) + -8(m + 1) + -2 = 0 (85 + 5m) + -8(m + 1) + -2 = 0 Reorder the terms: 85 + 5m + -8(1 + m) + -2 = 0 85 + 5m + (1 * -8 + m * -8) + -2 = 0 85 + 5m + (-8 + -8m) + -2 = 0 Reorder the terms: 85 + -8 + -2 + 5m + -8m = 0 Combine like terms: 85 + -8 = 77 77 + -2 + 5m + -8m = 0 Combine like terms: 77 + -2 = 75 75 + 5m + -8m = 0 Combine like terms: 5m + -8m = -3m 75 + -3m = 0 Solving 75 + -3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -3m = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -3m = 0 + -75 -3m = 0 + -75 Combine like terms: 0 + -75 = -75 -3m = -75 Divide each side by '-3'. m = 25 Simplifying m = 25
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