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Simplifying -6n + -20 = 2n + 4[1 + -3n] Reorder the terms: -20 + -6n = 2n + 4[1 + -3n] -20 + -6n = 2n + [1 * 4 + -3n * 4] -20 + -6n = 2n + [4 + -12n] Reorder the terms: -20 + -6n = 4 + 2n + -12n Combine like terms: 2n + -12n = -10n -20 + -6n = 4 + -10n Solving -20 + -6n = 4 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -20 + -6n + 10n = 4 + -10n + 10n Combine like terms: -6n + 10n = 4n -20 + 4n = 4 + -10n + 10n Combine like terms: -10n + 10n = 0 -20 + 4n = 4 + 0 -20 + 4n = 4 Add '20' to each side of the equation. -20 + 20 + 4n = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 4n = 4 + 20 4n = 4 + 20 Combine like terms: 4 + 20 = 24 4n = 24 Divide each side by '4'. n = 6 Simplifying n = 6
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