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Simplifying -4(n + 5) = 2n + -4(n + -1) Reorder the terms: -4(5 + n) = 2n + -4(n + -1) (5 * -4 + n * -4) = 2n + -4(n + -1) (-20 + -4n) = 2n + -4(n + -1) Reorder the terms: -20 + -4n = 2n + -4(-1 + n) -20 + -4n = 2n + (-1 * -4 + n * -4) -20 + -4n = 2n + (4 + -4n) Reorder the terms: -20 + -4n = 4 + 2n + -4n Combine like terms: 2n + -4n = -2n -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 = -2n -20 + -2n = 4 + -2n + 2n Combine like terms: -2n + 2n = 0 -20 + -2n = 4 + 0 -20 + -2n = 4 Add '20' to each side of the equation. -20 + 20 + -2n = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -2n = 4 + 20 -2n = 4 + 20 Combine like terms: 4 + 20 = 24 -2n = 24 Divide each side by '-2'. n = -12 Simplifying n = -12
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