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Simplifying 2m + -1n + (3m + 3n + 5) = 2 Reorder the terms: 2m + -1n + (5 + 3m + 3n) = 2 Remove parenthesis around (5 + 3m + 3n) 2m + -1n + 5 + 3m + 3n = 2 Reorder the terms: 5 + 2m + 3m + -1n + 3n = 2 Combine like terms: 2m + 3m = 5m 5 + 5m + -1n + 3n = 2 Combine like terms: -1n + 3n = 2n 5 + 5m + 2n = 2 Solving 5 + 5m + 2n = 2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 5m + -5 + 2n = 2 + -5 Reorder the terms: 5 + -5 + 5m + 2n = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 5m + 2n = 2 + -5 5m + 2n = 2 + -5 Combine like terms: 2 + -5 = -3 5m + 2n = -3 Add '-2n' to each side of the equation. 5m + 2n + -2n = -3 + -2n Combine like terms: 2n + -2n = 0 5m + 0 = -3 + -2n 5m = -3 + -2n Divide each side by '5'. m = -0.6 + -0.4n Simplifying m = -0.6 + -0.4n
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