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Simplifying (m + -2n + -3) + (5m + 4n + -8) = 0 Reorder the terms: (-3 + m + -2n) + (5m + 4n + -8) = 0 Remove parenthesis around (-3 + m + -2n) -3 + m + -2n + (5m + 4n + -8) = 0 Reorder the terms: -3 + m + -2n + (-8 + 5m + 4n) = 0 Remove parenthesis around (-8 + 5m + 4n) -3 + m + -2n + -8 + 5m + 4n = 0 Reorder the terms: -3 + -8 + m + 5m + -2n + 4n = 0 Combine like terms: -3 + -8 = -11 -11 + m + 5m + -2n + 4n = 0 Combine like terms: m + 5m = 6m -11 + 6m + -2n + 4n = 0 Combine like terms: -2n + 4n = 2n -11 + 6m + 2n = 0 Solving -11 + 6m + 2n = 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 + 6m + 11 + 2n = 0 + 11 Reorder the terms: -11 + 11 + 6m + 2n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 6m + 2n = 0 + 11 6m + 2n = 0 + 11 Combine like terms: 0 + 11 = 11 6m + 2n = 11 Add '-2n' to each side of the equation. 6m + 2n + -2n = 11 + -2n Combine like terms: 2n + -2n = 0 6m + 0 = 11 + -2n 6m = 11 + -2n Divide each side by '6'. m = 1.833333333 + -0.3333333333n Simplifying m = 1.833333333 + -0.3333333333n
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