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Simplifying -1(n + 5) = -8 + -3(n + 5) Reorder the terms: -1(5 + n) = -8 + -3(n + 5) (5 * -1 + n * -1) = -8 + -3(n + 5) (-5 + -1n) = -8 + -3(n + 5) Reorder the terms: -5 + -1n = -8 + -3(5 + n) -5 + -1n = -8 + (5 * -3 + n * -3) -5 + -1n = -8 + (-15 + -3n) Combine like terms: -8 + -15 = -23 -5 + -1n = -23 + -3n Solving -5 + -1n = -23 + -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. -5 + -1n + 3n = -23 + -3n + 3n Combine like terms: -1n + 3n = 2n -5 + 2n = -23 + -3n + 3n Combine like terms: -3n + 3n = 0 -5 + 2n = -23 + 0 -5 + 2n = -23 Add '5' to each side of the equation. -5 + 5 + 2n = -23 + 5 Combine like terms: -5 + 5 = 0 0 + 2n = -23 + 5 2n = -23 + 5 Combine like terms: -23 + 5 = -18 2n = -18 Divide each side by '2'. n = -9 Simplifying n = -9
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