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Simplifying 6(6n + 8) + -6(1 + -1n) = 0 Reorder the terms: 6(8 + 6n) + -6(1 + -1n) = 0 (8 * 6 + 6n * 6) + -6(1 + -1n) = 0 (48 + 36n) + -6(1 + -1n) = 0 48 + 36n + (1 * -6 + -1n * -6) = 0 48 + 36n + (-6 + 6n) = 0 Reorder the terms: 48 + -6 + 36n + 6n = 0 Combine like terms: 48 + -6 = 42 42 + 36n + 6n = 0 Combine like terms: 36n + 6n = 42n 42 + 42n = 0 Solving 42 + 42n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 42n = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 42n = 0 + -42 42n = 0 + -42 Combine like terms: 0 + -42 = -42 42n = -42 Divide each side by '42'. n = -1 Simplifying n = -1
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