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Simplifying 6n + 6(6n + 3) = 0 Reorder the terms: 6n + 6(3 + 6n) = 0 6n + (3 * 6 + 6n * 6) = 0 6n + (18 + 36n) = 0 Reorder the terms: 18 + 6n + 36n = 0 Combine like terms: 6n + 36n = 42n 18 + 42n = 0 Solving 18 + 42n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 42n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 42n = 0 + -18 42n = 0 + -18 Combine like terms: 0 + -18 = -18 42n = -18 Divide each side by '42'. n = -0.4285714286 Simplifying n = -0.4285714286
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