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Simplifying 2(n + 7) = 5(n + -7) Reorder the terms: 2(7 + n) = 5(n + -7) (7 * 2 + n * 2) = 5(n + -7) (14 + 2n) = 5(n + -7) Reorder the terms: 14 + 2n = 5(-7 + n) 14 + 2n = (-7 * 5 + n * 5) 14 + 2n = (-35 + 5n) Solving 14 + 2n = -35 + 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 = -35 + 5n + -5n Combine like terms: 2n + -5n = -3n 14 + -3n = -35 + 5n + -5n Combine like terms: 5n + -5n = 0 14 + -3n = -35 + 0 14 + -3n = -35 Add '-14' to each side of the equation. 14 + -14 + -3n = -35 + -14 Combine like terms: 14 + -14 = 0 0 + -3n = -35 + -14 -3n = -35 + -14 Combine like terms: -35 + -14 = -49 -3n = -49 Divide each side by '-3'. n = 16.33333333 Simplifying n = 16.33333333
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