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Simplifying -46 + 19n = 17(-20 + 4n) -46 + 19n = (-20 * 17 + 4n * 17) -46 + 19n = (-340 + 68n) Solving -46 + 19n = -340 + 68n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-68n' to each side of the equation. -46 + 19n + -68n = -340 + 68n + -68n Combine like terms: 19n + -68n = -49n -46 + -49n = -340 + 68n + -68n Combine like terms: 68n + -68n = 0 -46 + -49n = -340 + 0 -46 + -49n = -340 Add '46' to each side of the equation. -46 + 46 + -49n = -340 + 46 Combine like terms: -46 + 46 = 0 0 + -49n = -340 + 46 -49n = -340 + 46 Combine like terms: -340 + 46 = -294 -49n = -294 Divide each side by '-49'. n = 6 Simplifying n = 6
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