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Simplifying -7n + 6(1 + -6n) = 6 + 5n -7n + (1 * 6 + -6n * 6) = 6 + 5n -7n + (6 + -36n) = 6 + 5n Reorder the terms: 6 + -7n + -36n = 6 + 5n Combine like terms: -7n + -36n = -43n 6 + -43n = 6 + 5n Add '-6' to each side of the equation. 6 + -6 + -43n = 6 + -6 + 5n Combine like terms: 6 + -6 = 0 0 + -43n = 6 + -6 + 5n -43n = 6 + -6 + 5n Combine like terms: 6 + -6 = 0 -43n = 0 + 5n -43n = 5n Solving -43n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -43n + -5n = 5n + -5n Combine like terms: -43n + -5n = -48n -48n = 5n + -5n Combine like terms: 5n + -5n = 0 -48n = 0 Divide each side by '-48'. n = 0 Simplifying n = 0
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