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Simplifying 5m + 3n + 4 = -2n Reorder the terms: 4 + 5m + 3n = -2n Solving 4 + 5m + 3n = -2n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 5m + -4 + 3n = -4 + -2n Reorder the terms: 4 + -4 + 5m + 3n = -4 + -2n Combine like terms: 4 + -4 = 0 0 + 5m + 3n = -4 + -2n 5m + 3n = -4 + -2n Add '-3n' to each side of the equation. 5m + 3n + -3n = -4 + -2n + -3n Combine like terms: 3n + -3n = 0 5m + 0 = -4 + -2n + -3n 5m = -4 + -2n + -3n Combine like terms: -2n + -3n = -5n 5m = -4 + -5n Divide each side by '5'. m = -0.8 + -1n Simplifying m = -0.8 + -1n
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