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Simplifying 2(n + 8) = 40 + 6n Reorder the terms: 2(8 + n) = 40 + 6n (8 * 2 + n * 2) = 40 + 6n (16 + 2n) = 40 + 6n Solving 16 + 2n = 40 + 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. 16 + 2n + -6n = 40 + 6n + -6n Combine like terms: 2n + -6n = -4n 16 + -4n = 40 + 6n + -6n Combine like terms: 6n + -6n = 0 16 + -4n = 40 + 0 16 + -4n = 40 Add '-16' to each side of the equation. 16 + -16 + -4n = 40 + -16 Combine like terms: 16 + -16 = 0 0 + -4n = 40 + -16 -4n = 40 + -16 Combine like terms: 40 + -16 = 24 -4n = 24 Divide each side by '-4'. n = -6 Simplifying n = -6
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