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Simplifying 3m + 24 = 6(3m + -6) Reorder the terms: 24 + 3m = 6(3m + -6) Reorder the terms: 24 + 3m = 6(-6 + 3m) 24 + 3m = (-6 * 6 + 3m * 6) 24 + 3m = (-36 + 18m) Solving 24 + 3m = -36 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 24 + 3m + -18m = -36 + 18m + -18m Combine like terms: 3m + -18m = -15m 24 + -15m = -36 + 18m + -18m Combine like terms: 18m + -18m = 0 24 + -15m = -36 + 0 24 + -15m = -36 Add '-24' to each side of the equation. 24 + -24 + -15m = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -15m = -36 + -24 -15m = -36 + -24 Combine like terms: -36 + -24 = -60 -15m = -60 Divide each side by '-15'. m = 4 Simplifying m = 4
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