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Simplifying -6n + -20 = -2n + 41(1 + -3n) Reorder the terms: -20 + -6n = -2n + 41(1 + -3n) -20 + -6n = -2n + (1 * 41 + -3n * 41) -20 + -6n = -2n + (41 + -123n) Reorder the terms: -20 + -6n = 41 + -2n + -123n Combine like terms: -2n + -123n = -125n -20 + -6n = 41 + -125n Solving -20 + -6n = 41 + -125n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '125n' to each side of the equation. -20 + -6n + 125n = 41 + -125n + 125n Combine like terms: -6n + 125n = 119n -20 + 119n = 41 + -125n + 125n Combine like terms: -125n + 125n = 0 -20 + 119n = 41 + 0 -20 + 119n = 41 Add '20' to each side of the equation. -20 + 20 + 119n = 41 + 20 Combine like terms: -20 + 20 = 0 0 + 119n = 41 + 20 119n = 41 + 20 Combine like terms: 41 + 20 = 61 119n = 61 Divide each side by '119'. n = 0.512605042 Simplifying n = 0.512605042
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