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Simplifying 5m + 6n + -3m + 3 = 0 Reorder the terms: 3 + 5m + -3m + 6n = 0 Combine like terms: 5m + -3m = 2m 3 + 2m + 6n = 0 Solving 3 + 2m + 6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2m + -3 + 6n = 0 + -3 Reorder the terms: 3 + -3 + 2m + 6n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2m + 6n = 0 + -3 2m + 6n = 0 + -3 Combine like terms: 0 + -3 = -3 2m + 6n = -3 Add '-6n' to each side of the equation. 2m + 6n + -6n = -3 + -6n Combine like terms: 6n + -6n = 0 2m + 0 = -3 + -6n 2m = -3 + -6n Divide each side by '2'. m = -1.5 + -3n Simplifying m = -1.5 + -3n
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