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Simplifying 9m + -6(4m + -5) + -15 = 5m + 7(-2 + -9) Reorder the terms: 9m + -6(-5 + 4m) + -15 = 5m + 7(-2 + -9) 9m + (-5 * -6 + 4m * -6) + -15 = 5m + 7(-2 + -9) 9m + (30 + -24m) + -15 = 5m + 7(-2 + -9) Reorder the terms: 30 + -15 + 9m + -24m = 5m + 7(-2 + -9) Combine like terms: 30 + -15 = 15 15 + 9m + -24m = 5m + 7(-2 + -9) Combine like terms: 9m + -24m = -15m 15 + -15m = 5m + 7(-2 + -9) Combine like terms: -2 + -9 = -11 15 + -15m = 5m + 7(-11) Multiply 7 * -11 15 + -15m = 5m + -77 Reorder the terms: 15 + -15m = -77 + 5m Solving 15 + -15m = -77 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 15 + -15m + -5m = -77 + 5m + -5m Combine like terms: -15m + -5m = -20m 15 + -20m = -77 + 5m + -5m Combine like terms: 5m + -5m = 0 15 + -20m = -77 + 0 15 + -20m = -77 Add '-15' to each side of the equation. 15 + -15 + -20m = -77 + -15 Combine like terms: 15 + -15 = 0 0 + -20m = -77 + -15 -20m = -77 + -15 Combine like terms: -77 + -15 = -92 -20m = -92 Divide each side by '-20'. m = 4.6 Simplifying m = 4.6
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