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Simplifying (5m + 2n + -4) + -1(2m + -3n + -7) = 0 Reorder the terms: (-4 + 5m + 2n) + -1(2m + -3n + -7) = 0 Remove parenthesis around (-4 + 5m + 2n) -4 + 5m + 2n + -1(2m + -3n + -7) = 0 Reorder the terms: -4 + 5m + 2n + -1(-7 + 2m + -3n) = 0 -4 + 5m + 2n + (-7 * -1 + 2m * -1 + -3n * -1) = 0 -4 + 5m + 2n + (7 + -2m + 3n) = 0 Reorder the terms: -4 + 7 + 5m + -2m + 2n + 3n = 0 Combine like terms: -4 + 7 = 3 3 + 5m + -2m + 2n + 3n = 0 Combine like terms: 5m + -2m = 3m 3 + 3m + 2n + 3n = 0 Combine like terms: 2n + 3n = 5n 3 + 3m + 5n = 0 Solving 3 + 3m + 5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3m + -3 + 5n = 0 + -3 Reorder the terms: 3 + -3 + 3m + 5n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3m + 5n = 0 + -3 3m + 5n = 0 + -3 Combine like terms: 0 + -3 = -3 3m + 5n = -3 Add '-5n' to each side of the equation. 3m + 5n + -5n = -3 + -5n Combine like terms: 5n + -5n = 0 3m + 0 = -3 + -5n 3m = -3 + -5n Divide each side by '3'. m = -1 + -1.666666667n Simplifying m = -1 + -1.666666667n
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