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Simplifying 4(n + 5) = 8 + -2(n + -3) Reorder the terms: 4(5 + n) = 8 + -2(n + -3) (5 * 4 + n * 4) = 8 + -2(n + -3) (20 + 4n) = 8 + -2(n + -3) Reorder the terms: 20 + 4n = 8 + -2(-3 + n) 20 + 4n = 8 + (-3 * -2 + n * -2) 20 + 4n = 8 + (6 + -2n) Combine like terms: 8 + 6 = 14 20 + 4n = 14 + -2n Solving 20 + 4n = 14 + -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 = 14 + -2n + 2n Combine like terms: 4n + 2n = 6n 20 + 6n = 14 + -2n + 2n Combine like terms: -2n + 2n = 0 20 + 6n = 14 + 0 20 + 6n = 14 Add '-20' to each side of the equation. 20 + -20 + 6n = 14 + -20 Combine like terms: 20 + -20 = 0 0 + 6n = 14 + -20 6n = 14 + -20 Combine like terms: 14 + -20 = -6 6n = -6 Divide each side by '6'. n = -1 Simplifying n = -1
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