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Simplifying 3(m + -2) = m + 24 Reorder the terms: 3(-2 + m) = m + 24 (-2 * 3 + m * 3) = m + 24 (-6 + 3m) = m + 24 Reorder the terms: -6 + 3m = 24 + m Solving -6 + 3m = 24 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -6 + 3m + -1m = 24 + m + -1m Combine like terms: 3m + -1m = 2m -6 + 2m = 24 + m + -1m Combine like terms: m + -1m = 0 -6 + 2m = 24 + 0 -6 + 2m = 24 Add '6' to each side of the equation. -6 + 6 + 2m = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 2m = 24 + 6 2m = 24 + 6 Combine like terms: 24 + 6 = 30 2m = 30 Divide each side by '2'. m = 15 Simplifying m = 15
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