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Simplifying 7(2n + 5) = 3n + -5 Reorder the terms: 7(5 + 2n) = 3n + -5 (5 * 7 + 2n * 7) = 3n + -5 (35 + 14n) = 3n + -5 Reorder the terms: 35 + 14n = -5 + 3n Solving 35 + 14n = -5 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 35 + 14n + -3n = -5 + 3n + -3n Combine like terms: 14n + -3n = 11n 35 + 11n = -5 + 3n + -3n Combine like terms: 3n + -3n = 0 35 + 11n = -5 + 0 35 + 11n = -5 Add '-35' to each side of the equation. 35 + -35 + 11n = -5 + -35 Combine like terms: 35 + -35 = 0 0 + 11n = -5 + -35 11n = -5 + -35 Combine like terms: -5 + -35 = -40 11n = -40 Divide each side by '11'. n = -3.636363636 Simplifying n = -3.636363636
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