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Simplifying 4(n + -5) = -1(4 + 2n) Reorder the terms: 4(-5 + n) = -1(4 + 2n) (-5 * 4 + n * 4) = -1(4 + 2n) (-20 + 4n) = -1(4 + 2n) -20 + 4n = (4 * -1 + 2n * -1) -20 + 4n = (-4 + -2n) Solving -20 + 4n = -4 + -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. -20 + 4n + 2n = -4 + -2n + 2n Combine like terms: 4n + 2n = 6n -20 + 6n = -4 + -2n + 2n Combine like terms: -2n + 2n = 0 -20 + 6n = -4 + 0 -20 + 6n = -4 Add '20' to each side of the equation. -20 + 20 + 6n = -4 + 20 Combine like terms: -20 + 20 = 0 0 + 6n = -4 + 20 6n = -4 + 20 Combine like terms: -4 + 20 = 16 6n = 16 Divide each side by '6'. n = 2.666666667 Simplifying n = 2.666666667
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