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Simplifying -6(5 + -7m + n) = 0 (5 * -6 + -7m * -6 + n * -6) = 0 (-30 + 42m + -6n) = 0 Solving -30 + 42m + -6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 42m + 30 + -6n = 0 + 30 Reorder the terms: -30 + 30 + 42m + -6n = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 42m + -6n = 0 + 30 42m + -6n = 0 + 30 Combine like terms: 0 + 30 = 30 42m + -6n = 30 Add '6n' to each side of the equation. 42m + -6n + 6n = 30 + 6n Combine like terms: -6n + 6n = 0 42m + 0 = 30 + 6n 42m = 30 + 6n Divide each side by '42'. m = 0.7142857143 + 0.1428571429n Simplifying m = 0.7142857143 + 0.1428571429n
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