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Simplifying 3(3m + -5) = 6(m + 1) Reorder the terms: 3(-5 + 3m) = 6(m + 1) (-5 * 3 + 3m * 3) = 6(m + 1) (-15 + 9m) = 6(m + 1) Reorder the terms: -15 + 9m = 6(1 + m) -15 + 9m = (1 * 6 + m * 6) -15 + 9m = (6 + 6m) Solving -15 + 9m = 6 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -15 + 9m + -6m = 6 + 6m + -6m Combine like terms: 9m + -6m = 3m -15 + 3m = 6 + 6m + -6m Combine like terms: 6m + -6m = 0 -15 + 3m = 6 + 0 -15 + 3m = 6 Add '15' to each side of the equation. -15 + 15 + 3m = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 3m = 6 + 15 3m = 6 + 15 Combine like terms: 6 + 15 = 21 3m = 21 Divide each side by '3'. m = 7 Simplifying m = 7
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