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Simplifying 6(9m + -9) = 9(5m + -9) Reorder the terms: 6(-9 + 9m) = 9(5m + -9) (-9 * 6 + 9m * 6) = 9(5m + -9) (-54 + 54m) = 9(5m + -9) Reorder the terms: -54 + 54m = 9(-9 + 5m) -54 + 54m = (-9 * 9 + 5m * 9) -54 + 54m = (-81 + 45m) Solving -54 + 54m = -81 + 45m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-45m' to each side of the equation. -54 + 54m + -45m = -81 + 45m + -45m Combine like terms: 54m + -45m = 9m -54 + 9m = -81 + 45m + -45m Combine like terms: 45m + -45m = 0 -54 + 9m = -81 + 0 -54 + 9m = -81 Add '54' to each side of the equation. -54 + 54 + 9m = -81 + 54 Combine like terms: -54 + 54 = 0 0 + 9m = -81 + 54 9m = -81 + 54 Combine like terms: -81 + 54 = -27 9m = -27 Divide each side by '9'. m = -3 Simplifying m = -3
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