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Simplifying 2(5 + -8n) = 38 + -2n (5 * 2 + -8n * 2) = 38 + -2n (10 + -16n) = 38 + -2n Solving 10 + -16n = 38 + -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. 10 + -16n + 2n = 38 + -2n + 2n Combine like terms: -16n + 2n = -14n 10 + -14n = 38 + -2n + 2n Combine like terms: -2n + 2n = 0 10 + -14n = 38 + 0 10 + -14n = 38 Add '-10' to each side of the equation. 10 + -10 + -14n = 38 + -10 Combine like terms: 10 + -10 = 0 0 + -14n = 38 + -10 -14n = 38 + -10 Combine like terms: 38 + -10 = 28 -14n = 28 Divide each side by '-14'. n = -2 Simplifying n = -2
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