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Simplifying 9(m + -5) = 3(m + -3) Reorder the terms: 9(-5 + m) = 3(m + -3) (-5 * 9 + m * 9) = 3(m + -3) (-45 + 9m) = 3(m + -3) Reorder the terms: -45 + 9m = 3(-3 + m) -45 + 9m = (-3 * 3 + m * 3) -45 + 9m = (-9 + 3m) Solving -45 + 9m = -9 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -45 + 9m + -3m = -9 + 3m + -3m Combine like terms: 9m + -3m = 6m -45 + 6m = -9 + 3m + -3m Combine like terms: 3m + -3m = 0 -45 + 6m = -9 + 0 -45 + 6m = -9 Add '45' to each side of the equation. -45 + 45 + 6m = -9 + 45 Combine like terms: -45 + 45 = 0 0 + 6m = -9 + 45 6m = -9 + 45 Combine like terms: -9 + 45 = 36 6m = 36 Divide each side by '6'. m = 6 Simplifying m = 6
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