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Simplifying -3(2n + 8) + 5 = -1(4n + 5) Reorder the terms: -3(8 + 2n) + 5 = -1(4n + 5) (8 * -3 + 2n * -3) + 5 = -1(4n + 5) (-24 + -6n) + 5 = -1(4n + 5) Reorder the terms: -24 + 5 + -6n = -1(4n + 5) Combine like terms: -24 + 5 = -19 -19 + -6n = -1(4n + 5) Reorder the terms: -19 + -6n = -1(5 + 4n) -19 + -6n = (5 * -1 + 4n * -1) -19 + -6n = (-5 + -4n) Solving -19 + -6n = -5 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -19 + -6n + 4n = -5 + -4n + 4n Combine like terms: -6n + 4n = -2n -19 + -2n = -5 + -4n + 4n Combine like terms: -4n + 4n = 0 -19 + -2n = -5 + 0 -19 + -2n = -5 Add '19' to each side of the equation. -19 + 19 + -2n = -5 + 19 Combine like terms: -19 + 19 = 0 0 + -2n = -5 + 19 -2n = -5 + 19 Combine like terms: -5 + 19 = 14 -2n = 14 Divide each side by '-2'. n = -7 Simplifying n = -7
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