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Simplifying 342 = 6(1 + -8n) + -8n 342 = (1 * 6 + -8n * 6) + -8n 342 = (6 + -48n) + -8n Combine like terms: -48n + -8n = -56n 342 = 6 + -56n Solving 342 = 6 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. 342 + 56n = 6 + -56n + 56n Combine like terms: -56n + 56n = 0 342 + 56n = 6 + 0 342 + 56n = 6 Add '-342' to each side of the equation. 342 + -342 + 56n = 6 + -342 Combine like terms: 342 + -342 = 0 0 + 56n = 6 + -342 56n = 6 + -342 Combine like terms: 6 + -342 = -336 56n = -336 Divide each side by '56'. n = -6 Simplifying n = -6
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