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Simplifying 42 = -1(8 + 2n) + -6(-5 + 3n) 42 = (8 * -1 + 2n * -1) + -6(-5 + 3n) 42 = (-8 + -2n) + -6(-5 + 3n) 42 = -8 + -2n + (-5 * -6 + 3n * -6) 42 = -8 + -2n + (30 + -18n) Reorder the terms: 42 = -8 + 30 + -2n + -18n Combine like terms: -8 + 30 = 22 42 = 22 + -2n + -18n Combine like terms: -2n + -18n = -20n 42 = 22 + -20n Solving 42 = 22 + -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 = 22 + -20n + 20n Combine like terms: -20n + 20n = 0 42 + 20n = 22 + 0 42 + 20n = 22 Add '-42' to each side of the equation. 42 + -42 + 20n = 22 + -42 Combine like terms: 42 + -42 = 0 0 + 20n = 22 + -42 20n = 22 + -42 Combine like terms: 22 + -42 = -20 20n = -20 Divide each side by '20'. n = -1 Simplifying n = -1
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