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Simplifying 5m + -3n + 8 + -1m + n + 1 + n = 0 Reorder the terms: 8 + 1 + 5m + -1m + -3n + n + n = 0 Combine like terms: 8 + 1 = 9 9 + 5m + -1m + -3n + n + n = 0 Combine like terms: 5m + -1m = 4m 9 + 4m + -3n + n + n = 0 Combine like terms: -3n + n = -2n 9 + 4m + -2n + n = 0 Combine like terms: -2n + n = -1n 9 + 4m + -1n = 0 Solving 9 + 4m + -1n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 4m + -9 + -1n = 0 + -9 Reorder the terms: 9 + -9 + 4m + -1n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4m + -1n = 0 + -9 4m + -1n = 0 + -9 Combine like terms: 0 + -9 = -9 4m + -1n = -9 Add 'n' to each side of the equation. 4m + -1n + n = -9 + n Combine like terms: -1n + n = 0 4m + 0 = -9 + n 4m = -9 + n Divide each side by '4'. m = -2.25 + 0.25n Simplifying m = -2.25 + 0.25n
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