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Simplifying -3(n + -5) = 8 + -2n Reorder the terms: -3(-5 + n) = 8 + -2n (-5 * -3 + n * -3) = 8 + -2n (15 + -3n) = 8 + -2n Solving 15 + -3n = 8 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 15 + -3n + 2n = 8 + -2n + 2n Combine like terms: -3n + 2n = -1n 15 + -1n = 8 + -2n + 2n Combine like terms: -2n + 2n = 0 15 + -1n = 8 + 0 15 + -1n = 8 Add '-15' to each side of the equation. 15 + -15 + -1n = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -1n = 8 + -15 -1n = 8 + -15 Combine like terms: 8 + -15 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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