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Simplifying 13 + 3m = 1 + 3(3m + 4) Reorder the terms: 13 + 3m = 1 + 3(4 + 3m) 13 + 3m = 1 + (4 * 3 + 3m * 3) 13 + 3m = 1 + (12 + 9m) Combine like terms: 1 + 12 = 13 13 + 3m = 13 + 9m Add '-13' to each side of the equation. 13 + -13 + 3m = 13 + -13 + 9m Combine like terms: 13 + -13 = 0 0 + 3m = 13 + -13 + 9m 3m = 13 + -13 + 9m Combine like terms: 13 + -13 = 0 3m = 0 + 9m 3m = 9m Solving 3m = 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 3m + -9m = 9m + -9m Combine like terms: 3m + -9m = -6m -6m = 9m + -9m Combine like terms: 9m + -9m = 0 -6m = 0 Divide each side by '-6'. m = 0 Simplifying m = 0
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