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Simplifying 3(m + 13) = 4m + 19 Reorder the terms: 3(13 + m) = 4m + 19 (13 * 3 + m * 3) = 4m + 19 (39 + 3m) = 4m + 19 Reorder the terms: 39 + 3m = 19 + 4m Solving 39 + 3m = 19 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 39 + 3m + -4m = 19 + 4m + -4m Combine like terms: 3m + -4m = -1m 39 + -1m = 19 + 4m + -4m Combine like terms: 4m + -4m = 0 39 + -1m = 19 + 0 39 + -1m = 19 Add '-39' to each side of the equation. 39 + -39 + -1m = 19 + -39 Combine like terms: 39 + -39 = 0 0 + -1m = 19 + -39 -1m = 19 + -39 Combine like terms: 19 + -39 = -20 -1m = -20 Divide each side by '-1'. m = 20 Simplifying m = 20
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