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Simplifying 5n + -3(m + -3) = 2(m + 3) Reorder the terms: 5n + -3(-3 + m) = 2(m + 3) 5n + (-3 * -3 + m * -3) = 2(m + 3) 5n + (9 + -3m) = 2(m + 3) Reorder the terms: 9 + -3m + 5n = 2(m + 3) Reorder the terms: 9 + -3m + 5n = 2(3 + m) 9 + -3m + 5n = (3 * 2 + m * 2) 9 + -3m + 5n = (6 + 2m) Solving 9 + -3m + 5n = 6 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 9 + -3m + -2m + 5n = 6 + 2m + -2m Combine like terms: -3m + -2m = -5m 9 + -5m + 5n = 6 + 2m + -2m Combine like terms: 2m + -2m = 0 9 + -5m + 5n = 6 + 0 9 + -5m + 5n = 6 Add '-9' to each side of the equation. 9 + -5m + -9 + 5n = 6 + -9 Reorder the terms: 9 + -9 + -5m + 5n = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -5m + 5n = 6 + -9 -5m + 5n = 6 + -9 Combine like terms: 6 + -9 = -3 -5m + 5n = -3 Add '-5n' to each side of the equation. -5m + 5n + -5n = -3 + -5n Combine like terms: 5n + -5n = 0 -5m + 0 = -3 + -5n -5m = -3 + -5n Divide each side by '-5'. m = 0.6 + n Simplifying m = 0.6 + n
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