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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 = -5m -13 + -5m + -4n + n = 0 Combine like terms: -4n + n = -3n -13 + -5m + -3n = 0 Solving -13 + -5m + -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 + -5m + 13 + -3n = 0 + 13 Reorder the terms: -13 + 13 + -5m + -3n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -5m + -3n = 0 + 13 -5m + -3n = 0 + 13 Combine like terms: 0 + 13 = 13 -5m + -3n = 13 Add '3n' to each side of the equation. -5m + -3n + 3n = 13 + 3n Combine like terms: -3n + 3n = 0 -5m + 0 = 13 + 3n -5m = 13 + 3n Divide each side by '-5'. m = -2.6 + -0.6n Simplifying m = -2.6 + -0.6n
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