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Simplifying -42 = 6(3 + 3n) + 2n -42 = (3 * 6 + 3n * 6) + 2n -42 = (18 + 18n) + 2n Combine like terms: 18n + 2n = 20n -42 = 18 + 20n Solving -42 = 18 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -42 + -20n = 18 + 20n + -20n Combine like terms: 20n + -20n = 0 -42 + -20n = 18 + 0 -42 + -20n = 18 Add '42' to each side of the equation. -42 + 42 + -20n = 18 + 42 Combine like terms: -42 + 42 = 0 0 + -20n = 18 + 42 -20n = 18 + 42 Combine like terms: 18 + 42 = 60 -20n = 60 Divide each side by '-20'. n = -3 Simplifying n = -3
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