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Simplifying 9m + -6(4m + -5) + -15 = 5m + 7(-2m + -9) Reorder the terms: 9m + -6(-5 + 4m) + -15 = 5m + 7(-2m + -9) 9m + (-5 * -6 + 4m * -6) + -15 = 5m + 7(-2m + -9) 9m + (30 + -24m) + -15 = 5m + 7(-2m + -9) Reorder the terms: 30 + -15 + 9m + -24m = 5m + 7(-2m + -9) Combine like terms: 30 + -15 = 15 15 + 9m + -24m = 5m + 7(-2m + -9) Combine like terms: 9m + -24m = -15m 15 + -15m = 5m + 7(-2m + -9) Reorder the terms: 15 + -15m = 5m + 7(-9 + -2m) 15 + -15m = 5m + (-9 * 7 + -2m * 7) 15 + -15m = 5m + (-63 + -14m) Reorder the terms: 15 + -15m = -63 + 5m + -14m Combine like terms: 5m + -14m = -9m 15 + -15m = -63 + -9m Solving 15 + -15m = -63 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. 15 + -15m + 9m = -63 + -9m + 9m Combine like terms: -15m + 9m = -6m 15 + -6m = -63 + -9m + 9m Combine like terms: -9m + 9m = 0 15 + -6m = -63 + 0 15 + -6m = -63 Add '-15' to each side of the equation. 15 + -15 + -6m = -63 + -15 Combine like terms: 15 + -15 = 0 0 + -6m = -63 + -15 -6m = -63 + -15 Combine like terms: -63 + -15 = -78 -6m = -78 Divide each side by '-6'. m = 13 Simplifying m = 13
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