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Simplifying -7(5 + -6m + n) = 0 (5 * -7 + -6m * -7 + n * -7) = 0 (-35 + 42m + -7n) = 0 Solving -35 + 42m + -7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 42m + 35 + -7n = 0 + 35 Reorder the terms: -35 + 35 + 42m + -7n = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 42m + -7n = 0 + 35 42m + -7n = 0 + 35 Combine like terms: 0 + 35 = 35 42m + -7n = 35 Add '7n' to each side of the equation. 42m + -7n + 7n = 35 + 7n Combine like terms: -7n + 7n = 0 42m + 0 = 35 + 7n 42m = 35 + 7n Divide each side by '42'. m = 0.8333333333 + 0.1666666667n Simplifying m = 0.8333333333 + 0.1666666667n
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