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Simplifying -5n + -20 = -2n + 4(1 + -3n) Reorder the terms: -20 + -5n = -2n + 4(1 + -3n) -20 + -5n = -2n + (1 * 4 + -3n * 4) -20 + -5n = -2n + (4 + -12n) Reorder the terms: -20 + -5n = 4 + -2n + -12n Combine like terms: -2n + -12n = -14n -20 + -5n = 4 + -14n Solving -20 + -5n = 4 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -20 + -5n + 14n = 4 + -14n + 14n Combine like terms: -5n + 14n = 9n -20 + 9n = 4 + -14n + 14n Combine like terms: -14n + 14n = 0 -20 + 9n = 4 + 0 -20 + 9n = 4 Add '20' to each side of the equation. -20 + 20 + 9n = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 9n = 4 + 20 9n = 4 + 20 Combine like terms: 4 + 20 = 24 9n = 24 Divide each side by '9'. n = 2.666666667 Simplifying n = 2.666666667
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