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Simplifying 6m + -8n + 10 + -3n + -14m + 1 = 0 Reorder the terms: 10 + 1 + 6m + -14m + -8n + -3n = 0 Combine like terms: 10 + 1 = 11 11 + 6m + -14m + -8n + -3n = 0 Combine like terms: 6m + -14m = -8m 11 + -8m + -8n + -3n = 0 Combine like terms: -8n + -3n = -11n 11 + -8m + -11n = 0 Solving 11 + -8m + -11n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -8m + -11 + -11n = 0 + -11 Reorder the terms: 11 + -11 + -8m + -11n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -8m + -11n = 0 + -11 -8m + -11n = 0 + -11 Combine like terms: 0 + -11 = -11 -8m + -11n = -11 Add '11n' to each side of the equation. -8m + -11n + 11n = -11 + 11n Combine like terms: -11n + 11n = 0 -8m + 0 = -11 + 11n -8m = -11 + 11n Divide each side by '-8'. m = 1.375 + -1.375n Simplifying m = 1.375 + -1.375n
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