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Simplifying -6(-7n + -7) = -30 + 6n Reorder the terms: -6(-7 + -7n) = -30 + 6n (-7 * -6 + -7n * -6) = -30 + 6n (42 + 42n) = -30 + 6n Solving 42 + 42n = -30 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 42 + 42n + -6n = -30 + 6n + -6n Combine like terms: 42n + -6n = 36n 42 + 36n = -30 + 6n + -6n Combine like terms: 6n + -6n = 0 42 + 36n = -30 + 0 42 + 36n = -30 Add '-42' to each side of the equation. 42 + -42 + 36n = -30 + -42 Combine like terms: 42 + -42 = 0 0 + 36n = -30 + -42 36n = -30 + -42 Combine like terms: -30 + -42 = -72 36n = -72 Divide each side by '36'. n = -2 Simplifying n = -2
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