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Simplifying 2(n + 1) = 6n + -46 Reorder the terms: 2(1 + n) = 6n + -46 (1 * 2 + n * 2) = 6n + -46 (2 + 2n) = 6n + -46 Reorder the terms: 2 + 2n = -46 + 6n Solving 2 + 2n = -46 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 2 + 2n + -6n = -46 + 6n + -6n Combine like terms: 2n + -6n = -4n 2 + -4n = -46 + 6n + -6n Combine like terms: 6n + -6n = 0 2 + -4n = -46 + 0 2 + -4n = -46 Add '-2' to each side of the equation. 2 + -2 + -4n = -46 + -2 Combine like terms: 2 + -2 = 0 0 + -4n = -46 + -2 -4n = -46 + -2 Combine like terms: -46 + -2 = -48 -4n = -48 Divide each side by '-4'. n = 12 Simplifying n = 12
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