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Simplifying 6(3n + 6 + -2n) + -26 + -3n = 20 + 26 + -2 * 3 * 2 Reorder the terms: 6(6 + 3n + -2n) + -26 + -3n = 20 + 26 + -2 * 3 * 2 Combine like terms: 3n + -2n = 1n 6(6 + 1n) + -26 + -3n = 20 + 26 + -2 * 3 * 2 (6 * 6 + 1n * 6) + -26 + -3n = 20 + 26 + -2 * 3 * 2 (36 + 6n) + -26 + -3n = 20 + 26 + -2 * 3 * 2 Reorder the terms: 36 + -26 + 6n + -3n = 20 + 26 + -2 * 3 * 2 Combine like terms: 36 + -26 = 10 10 + 6n + -3n = 20 + 26 + -2 * 3 * 2 Combine like terms: 6n + -3n = 3n 10 + 3n = 20 + 26 + -2 * 3 * 2 Multiply -2 * 3 10 + 3n = 20 + 26 + -6 * 2 Multiply -6 * 2 10 + 3n = 20 + 26 + -12 Combine like terms: 20 + 26 = 46 10 + 3n = 46 + -12 Combine like terms: 46 + -12 = 34 10 + 3n = 34 Solving 10 + 3n = 34 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3n = 34 + -10 Combine like terms: 10 + -10 = 0 0 + 3n = 34 + -10 3n = 34 + -10 Combine like terms: 34 + -10 = 24 3n = 24 Divide each side by '3'. n = 8 Simplifying n = 8
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