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Simplifying 2(2m + 8) + -3(5m + -8) + -17m = 0 Reorder the terms: 2(8 + 2m) + -3(5m + -8) + -17m = 0 (8 * 2 + 2m * 2) + -3(5m + -8) + -17m = 0 (16 + 4m) + -3(5m + -8) + -17m = 0 Reorder the terms: 16 + 4m + -3(-8 + 5m) + -17m = 0 16 + 4m + (-8 * -3 + 5m * -3) + -17m = 0 16 + 4m + (24 + -15m) + -17m = 0 Reorder the terms: 16 + 24 + 4m + -15m + -17m = 0 Combine like terms: 16 + 24 = 40 40 + 4m + -15m + -17m = 0 Combine like terms: 4m + -15m = -11m 40 + -11m + -17m = 0 Combine like terms: -11m + -17m = -28m 40 + -28m = 0 Solving 40 + -28m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -28m = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -28m = 0 + -40 -28m = 0 + -40 Combine like terms: 0 + -40 = -40 -28m = -40 Divide each side by '-28'. m = 1.428571429 Simplifying m = 1.428571429
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