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Simplifying 5 + -2(2n + -8) = -3(2n + -5) Reorder the terms: 5 + -2(-8 + 2n) = -3(2n + -5) 5 + (-8 * -2 + 2n * -2) = -3(2n + -5) 5 + (16 + -4n) = -3(2n + -5) Combine like terms: 5 + 16 = 21 21 + -4n = -3(2n + -5) Reorder the terms: 21 + -4n = -3(-5 + 2n) 21 + -4n = (-5 * -3 + 2n * -3) 21 + -4n = (15 + -6n) Solving 21 + -4n = 15 + -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. 21 + -4n + 6n = 15 + -6n + 6n Combine like terms: -4n + 6n = 2n 21 + 2n = 15 + -6n + 6n Combine like terms: -6n + 6n = 0 21 + 2n = 15 + 0 21 + 2n = 15 Add '-21' to each side of the equation. 21 + -21 + 2n = 15 + -21 Combine like terms: 21 + -21 = 0 0 + 2n = 15 + -21 2n = 15 + -21 Combine like terms: 15 + -21 = -6 2n = -6 Divide each side by '2'. n = -3 Simplifying n = -3
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