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Simplifying 5[m + -9] = -27 + -4m Reorder the terms: 5[-9 + m] = -27 + -4m [-9 * 5 + m * 5] = -27 + -4m [-45 + 5m] = -27 + -4m Solving -45 + 5m = -27 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -45 + 5m + 4m = -27 + -4m + 4m Combine like terms: 5m + 4m = 9m -45 + 9m = -27 + -4m + 4m Combine like terms: -4m + 4m = 0 -45 + 9m = -27 + 0 -45 + 9m = -27 Add '45' to each side of the equation. -45 + 45 + 9m = -27 + 45 Combine like terms: -45 + 45 = 0 0 + 9m = -27 + 45 9m = -27 + 45 Combine like terms: -27 + 45 = 18 9m = 18 Divide each side by '9'. m = 2 Simplifying m = 2
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