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Simplifying 2(n + 7) = 2(n + -5) + 3n Reorder the terms: 2(7 + n) = 2(n + -5) + 3n (7 * 2 + n * 2) = 2(n + -5) + 3n (14 + 2n) = 2(n + -5) + 3n Reorder the terms: 14 + 2n = 2(-5 + n) + 3n 14 + 2n = (-5 * 2 + n * 2) + 3n 14 + 2n = (-10 + 2n) + 3n Combine like terms: 2n + 3n = 5n 14 + 2n = -10 + 5n Solving 14 + 2n = -10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 14 + 2n + -5n = -10 + 5n + -5n Combine like terms: 2n + -5n = -3n 14 + -3n = -10 + 5n + -5n Combine like terms: 5n + -5n = 0 14 + -3n = -10 + 0 14 + -3n = -10 Add '-14' to each side of the equation. 14 + -14 + -3n = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -3n = -10 + -14 -3n = -10 + -14 Combine like terms: -10 + -14 = -24 -3n = -24 Divide each side by '-3'. n = 8 Simplifying n = 8
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