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Simplifying 3(m + 6) + -2m = 5m + 6 Reorder the terms: 3(6 + m) + -2m = 5m + 6 (6 * 3 + m * 3) + -2m = 5m + 6 (18 + 3m) + -2m = 5m + 6 Combine like terms: 3m + -2m = 1m 18 + 1m = 5m + 6 Reorder the terms: 18 + 1m = 6 + 5m Solving 18 + 1m = 6 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 18 + 1m + -5m = 6 + 5m + -5m Combine like terms: 1m + -5m = -4m 18 + -4m = 6 + 5m + -5m Combine like terms: 5m + -5m = 0 18 + -4m = 6 + 0 18 + -4m = 6 Add '-18' to each side of the equation. 18 + -18 + -4m = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -4m = 6 + -18 -4m = 6 + -18 Combine like terms: 6 + -18 = -12 -4m = -12 Divide each side by '-4'. m = 3 Simplifying m = 3
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