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Simplifying n + 5(n + 2) = 5(n + 1) + -20 Reorder the terms: n + 5(2 + n) = 5(n + 1) + -20 n + (2 * 5 + n * 5) = 5(n + 1) + -20 n + (10 + 5n) = 5(n + 1) + -20 Reorder the terms: 10 + n + 5n = 5(n + 1) + -20 Combine like terms: n + 5n = 6n 10 + 6n = 5(n + 1) + -20 Reorder the terms: 10 + 6n = 5(1 + n) + -20 10 + 6n = (1 * 5 + n * 5) + -20 10 + 6n = (5 + 5n) + -20 Reorder the terms: 10 + 6n = 5 + -20 + 5n Combine like terms: 5 + -20 = -15 10 + 6n = -15 + 5n Solving 10 + 6n = -15 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 10 + 6n + -5n = -15 + 5n + -5n Combine like terms: 6n + -5n = 1n 10 + 1n = -15 + 5n + -5n Combine like terms: 5n + -5n = 0 10 + 1n = -15 + 0 10 + 1n = -15 Add '-10' to each side of the equation. 10 + -10 + 1n = -15 + -10 Combine like terms: 10 + -10 = 0 0 + 1n = -15 + -10 1n = -15 + -10 Combine like terms: -15 + -10 = -25 1n = -25 Divide each side by '1'. n = -25 Simplifying n = -25
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