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Simplifying 13 + 5m = 3 + 3m + 2 Reorder the terms: 13 + 5m = 3 + 2 + 3m Combine like terms: 3 + 2 = 5 13 + 5m = 5 + 3m Solving 13 + 5m = 5 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 13 + 5m + -3m = 5 + 3m + -3m Combine like terms: 5m + -3m = 2m 13 + 2m = 5 + 3m + -3m Combine like terms: 3m + -3m = 0 13 + 2m = 5 + 0 13 + 2m = 5 Add '-13' to each side of the equation. 13 + -13 + 2m = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 2m = 5 + -13 2m = 5 + -13 Combine like terms: 5 + -13 = -8 2m = -8 Divide each side by '2'. m = -4 Simplifying m = -4
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