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Simplifying 3m + -4n + -7 + 8m + n + -6 = 0 Reorder the terms: -7 + -6 + 3m + 8m + -4n + n = 0 Combine like terms: -7 + -6 = -13 -13 + 3m + 8m + -4n + n = 0 Combine like terms: 3m + 8m = 11m -13 + 11m + -4n + n = 0 Combine like terms: -4n + n = -3n -13 + 11m + -3n = 0 Solving -13 + 11m + -3n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 11m + 13 + -3n = 0 + 13 Reorder the terms: -13 + 13 + 11m + -3n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 11m + -3n = 0 + 13 11m + -3n = 0 + 13 Combine like terms: 0 + 13 = 13 11m + -3n = 13 Add '3n' to each side of the equation. 11m + -3n + 3n = 13 + 3n Combine like terms: -3n + 3n = 0 11m + 0 = 13 + 3n 11m = 13 + 3n Divide each side by '11'. m = 1.181818182 + 0.2727272727n Simplifying m = 1.181818182 + 0.2727272727n
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