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Simplifying 2(n + -8) + 6(4n + 7) = 52 Reorder the terms: 2(-8 + n) + 6(4n + 7) = 52 (-8 * 2 + n * 2) + 6(4n + 7) = 52 (-16 + 2n) + 6(4n + 7) = 52 Reorder the terms: -16 + 2n + 6(7 + 4n) = 52 -16 + 2n + (7 * 6 + 4n * 6) = 52 -16 + 2n + (42 + 24n) = 52 Reorder the terms: -16 + 42 + 2n + 24n = 52 Combine like terms: -16 + 42 = 26 26 + 2n + 24n = 52 Combine like terms: 2n + 24n = 26n 26 + 26n = 52 Solving 26 + 26n = 52 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 26n = 52 + -26 Combine like terms: 26 + -26 = 0 0 + 26n = 52 + -26 26n = 52 + -26 Combine like terms: 52 + -26 = 26 26n = 26 Divide each side by '26'. n = 1 Simplifying n = 1
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