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Simplifying -1(-2m + n + -5) + -1(4 + -5m + -6n) = 0 Reorder the terms: -1(-5 + -2m + n) + -1(4 + -5m + -6n) = 0 (-5 * -1 + -2m * -1 + n * -1) + -1(4 + -5m + -6n) = 0 (5 + 2m + -1n) + -1(4 + -5m + -6n) = 0 5 + 2m + -1n + (4 * -1 + -5m * -1 + -6n * -1) = 0 5 + 2m + -1n + (-4 + 5m + 6n) = 0 Reorder the terms: 5 + -4 + 2m + 5m + -1n + 6n = 0 Combine like terms: 5 + -4 = 1 1 + 2m + 5m + -1n + 6n = 0 Combine like terms: 2m + 5m = 7m 1 + 7m + -1n + 6n = 0 Combine like terms: -1n + 6n = 5n 1 + 7m + 5n = 0 Solving 1 + 7m + 5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 7m + -1 + 5n = 0 + -1 Reorder the terms: 1 + -1 + 7m + 5n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7m + 5n = 0 + -1 7m + 5n = 0 + -1 Combine like terms: 0 + -1 = -1 7m + 5n = -1 Add '-5n' to each side of the equation. 7m + 5n + -5n = -1 + -5n Combine like terms: 5n + -5n = 0 7m + 0 = -1 + -5n 7m = -1 + -5n Divide each side by '7'. m = -0.1428571429 + -0.7142857143n Simplifying m = -0.1428571429 + -0.7142857143n
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