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Simplifying 5(2m + -3) = 3(m + 2) Reorder the terms: 5(-3 + 2m) = 3(m + 2) (-3 * 5 + 2m * 5) = 3(m + 2) (-15 + 10m) = 3(m + 2) Reorder the terms: -15 + 10m = 3(2 + m) -15 + 10m = (2 * 3 + m * 3) -15 + 10m = (6 + 3m) Solving -15 + 10m = 6 + 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. -15 + 10m + -3m = 6 + 3m + -3m Combine like terms: 10m + -3m = 7m -15 + 7m = 6 + 3m + -3m Combine like terms: 3m + -3m = 0 -15 + 7m = 6 + 0 -15 + 7m = 6 Add '15' to each side of the equation. -15 + 15 + 7m = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 7m = 6 + 15 7m = 6 + 15 Combine like terms: 6 + 15 = 21 7m = 21 Divide each side by '7'. m = 3 Simplifying m = 3
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