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Simplifying -7n + -4(9n + -1) = 6(1 + 7n) Reorder the terms: -7n + -4(-1 + 9n) = 6(1 + 7n) -7n + (-1 * -4 + 9n * -4) = 6(1 + 7n) -7n + (4 + -36n) = 6(1 + 7n) Reorder the terms: 4 + -7n + -36n = 6(1 + 7n) Combine like terms: -7n + -36n = -43n 4 + -43n = 6(1 + 7n) 4 + -43n = (1 * 6 + 7n * 6) 4 + -43n = (6 + 42n) Solving 4 + -43n = 6 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 4 + -43n + -42n = 6 + 42n + -42n Combine like terms: -43n + -42n = -85n 4 + -85n = 6 + 42n + -42n Combine like terms: 42n + -42n = 0 4 + -85n = 6 + 0 4 + -85n = 6 Add '-4' to each side of the equation. 4 + -4 + -85n = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -85n = 6 + -4 -85n = 6 + -4 Combine like terms: 6 + -4 = 2 -85n = 2 Divide each side by '-85'. n = -0.02352941176 Simplifying n = -0.02352941176
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