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Simplifying 8 + -3m + n + -5m + 2n = 0 Reorder the terms: 8 + -3m + -5m + n + 2n = 0 Combine like terms: -3m + -5m = -8m 8 + -8m + n + 2n = 0 Combine like terms: n + 2n = 3n 8 + -8m + 3n = 0 Solving 8 + -8m + 3n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8m + -8 + 3n = 0 + -8 Reorder the terms: 8 + -8 + -8m + 3n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -8m + 3n = 0 + -8 -8m + 3n = 0 + -8 Combine like terms: 0 + -8 = -8 -8m + 3n = -8 Add '-3n' to each side of the equation. -8m + 3n + -3n = -8 + -3n Combine like terms: 3n + -3n = 0 -8m + 0 = -8 + -3n -8m = -8 + -3n Divide each side by '-8'. m = 1 + 0.375n Simplifying m = 1 + 0.375n
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