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Simplifying -5(m + 6) = 3(3m + 18) Reorder the terms: -5(6 + m) = 3(3m + 18) (6 * -5 + m * -5) = 3(3m + 18) (-30 + -5m) = 3(3m + 18) Reorder the terms: -30 + -5m = 3(18 + 3m) -30 + -5m = (18 * 3 + 3m * 3) -30 + -5m = (54 + 9m) Solving -30 + -5m = 54 + 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 + -5m + -9m = 54 + 9m + -9m Combine like terms: -5m + -9m = -14m -30 + -14m = 54 + 9m + -9m Combine like terms: 9m + -9m = 0 -30 + -14m = 54 + 0 -30 + -14m = 54 Add '30' to each side of the equation. -30 + 30 + -14m = 54 + 30 Combine like terms: -30 + 30 = 0 0 + -14m = 54 + 30 -14m = 54 + 30 Combine like terms: 54 + 30 = 84 -14m = 84 Divide each side by '-14'. m = -6 Simplifying m = -6
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