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Simplifying (8m + 3n + -4) + -1(3m + -2n) + -8 = 0 Reorder the terms: (-4 + 8m + 3n) + -1(3m + -2n) + -8 = 0 Remove parenthesis around (-4 + 8m + 3n) -4 + 8m + 3n + -1(3m + -2n) + -8 = 0 -4 + 8m + 3n + (3m * -1 + -2n * -1) + -8 = 0 -4 + 8m + 3n + (-3m + 2n) + -8 = 0 Reorder the terms: -4 + -8 + 8m + -3m + 3n + 2n = 0 Combine like terms: -4 + -8 = -12 -12 + 8m + -3m + 3n + 2n = 0 Combine like terms: 8m + -3m = 5m -12 + 5m + 3n + 2n = 0 Combine like terms: 3n + 2n = 5n -12 + 5m + 5n = 0 Solving -12 + 5m + 5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 5m + 12 + 5n = 0 + 12 Reorder the terms: -12 + 12 + 5m + 5n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5m + 5n = 0 + 12 5m + 5n = 0 + 12 Combine like terms: 0 + 12 = 12 5m + 5n = 12 Add '-5n' to each side of the equation. 5m + 5n + -5n = 12 + -5n Combine like terms: 5n + -5n = 0 5m + 0 = 12 + -5n 5m = 12 + -5n Divide each side by '5'. m = 2.4 + -1n Simplifying m = 2.4 + -1n
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