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Simplifying 2(1 + 2x) + 6(n + -1) = 18 (1 * 2 + 2x * 2) + 6(n + -1) = 18 (2 + 4x) + 6(n + -1) = 18 Reorder the terms: 2 + 4x + 6(-1 + n) = 18 2 + 4x + (-1 * 6 + n * 6) = 18 2 + 4x + (-6 + 6n) = 18 Reorder the terms: 2 + -6 + 6n + 4x = 18 Combine like terms: 2 + -6 = -4 -4 + 6n + 4x = 18 Solving -4 + 6n + 4x = 18 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 6n + 4 + 4x = 18 + 4 Reorder the terms: -4 + 4 + 6n + 4x = 18 + 4 Combine like terms: -4 + 4 = 0 0 + 6n + 4x = 18 + 4 6n + 4x = 18 + 4 Combine like terms: 18 + 4 = 22 6n + 4x = 22 Add '-4x' to each side of the equation. 6n + 4x + -4x = 22 + -4x Combine like terms: 4x + -4x = 0 6n + 0 = 22 + -4x 6n = 22 + -4x Divide each side by '6'. n = 3.666666667 + -0.6666666667x Simplifying n = 3.666666667 + -0.6666666667x
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