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Simplifying -6(-6n + -5) = 7n + 30 Reorder the terms: -6(-5 + -6n) = 7n + 30 (-5 * -6 + -6n * -6) = 7n + 30 (30 + 36n) = 7n + 30 Reorder the terms: 30 + 36n = 30 + 7n Add '-30' to each side of the equation. 30 + -30 + 36n = 30 + -30 + 7n Combine like terms: 30 + -30 = 0 0 + 36n = 30 + -30 + 7n 36n = 30 + -30 + 7n Combine like terms: 30 + -30 = 0 36n = 0 + 7n 36n = 7n Solving 36n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 36n + -7n = 7n + -7n Combine like terms: 36n + -7n = 29n 29n = 7n + -7n Combine like terms: 7n + -7n = 0 29n = 0 Divide each side by '29'. n = 0 Simplifying n = 0
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