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Simplifying -5(m + 4) = -7 + 3(3m + 5) Reorder the terms: -5(4 + m) = -7 + 3(3m + 5) (4 * -5 + m * -5) = -7 + 3(3m + 5) (-20 + -5m) = -7 + 3(3m + 5) Reorder the terms: -20 + -5m = -7 + 3(5 + 3m) -20 + -5m = -7 + (5 * 3 + 3m * 3) -20 + -5m = -7 + (15 + 9m) Combine like terms: -7 + 15 = 8 -20 + -5m = 8 + 9m Solving -20 + -5m = 8 + 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. -20 + -5m + -9m = 8 + 9m + -9m Combine like terms: -5m + -9m = -14m -20 + -14m = 8 + 9m + -9m Combine like terms: 9m + -9m = 0 -20 + -14m = 8 + 0 -20 + -14m = 8 Add '20' to each side of the equation. -20 + 20 + -14m = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -14m = 8 + 20 -14m = 8 + 20 Combine like terms: 8 + 20 = 28 -14m = 28 Divide each side by '-14'. m = -2 Simplifying m = -2
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