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Simplifying -6(m + 5) = 9m Reorder the terms: -6(5 + m) = 9m (5 * -6 + m * -6) = 9m (-30 + -6m) = 9m Solving -30 + -6m = 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. -30 + -6m + -9m = 9m + -9m Combine like terms: -6m + -9m = -15m -30 + -15m = 9m + -9m Combine like terms: 9m + -9m = 0 -30 + -15m = 0 Add '30' to each side of the equation. -30 + 30 + -15m = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -15m = 0 + 30 -15m = 0 + 30 Combine like terms: 0 + 30 = 30 -15m = 30 Divide each side by '-15'. m = -2 Simplifying m = -2
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