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Simplifying -8m + -2n + 5n + 3m + 1 = 0 Reorder the terms: 1 + -8m + 3m + -2n + 5n = 0 Combine like terms: -8m + 3m = -5m 1 + -5m + -2n + 5n = 0 Combine like terms: -2n + 5n = 3n 1 + -5m + 3n = 0 Solving 1 + -5m + 3n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -5m + -1 + 3n = 0 + -1 Reorder the terms: 1 + -1 + -5m + 3n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5m + 3n = 0 + -1 -5m + 3n = 0 + -1 Combine like terms: 0 + -1 = -1 -5m + 3n = -1 Add '-3n' to each side of the equation. -5m + 3n + -3n = -1 + -3n Combine like terms: 3n + -3n = 0 -5m + 0 = -1 + -3n -5m = -1 + -3n Divide each side by '-5'. m = 0.2 + 0.6n Simplifying m = 0.2 + 0.6n
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