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Simplifying -6n + -20 = -2 + 4(1 + -3n) Reorder the terms: -20 + -6n = -2 + 4(1 + -3n) -20 + -6n = -2 + (1 * 4 + -3n * 4) -20 + -6n = -2 + (4 + -12n) Combine like terms: -2 + 4 = 2 -20 + -6n = 2 + -12n Solving -20 + -6n = 2 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -20 + -6n + 12n = 2 + -12n + 12n Combine like terms: -6n + 12n = 6n -20 + 6n = 2 + -12n + 12n Combine like terms: -12n + 12n = 0 -20 + 6n = 2 + 0 -20 + 6n = 2 Add '20' to each side of the equation. -20 + 20 + 6n = 2 + 20 Combine like terms: -20 + 20 = 0 0 + 6n = 2 + 20 6n = 2 + 20 Combine like terms: 2 + 20 = 22 6n = 22 Divide each side by '6'. n = 3.666666667 Simplifying n = 3.666666667
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