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Simplifying -6n + -4 = 2n + 4(1 + -3n) Reorder the terms: -4 + -6n = 2n + 4(1 + -3n) -4 + -6n = 2n + (1 * 4 + -3n * 4) -4 + -6n = 2n + (4 + -12n) Reorder the terms: -4 + -6n = 4 + 2n + -12n Combine like terms: 2n + -12n = -10n -4 + -6n = 4 + -10n Solving -4 + -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. -4 + -6n + 10n = 4 + -10n + 10n Combine like terms: -6n + 10n = 4n -4 + 4n = 4 + -10n + 10n Combine like terms: -10n + 10n = 0 -4 + 4n = 4 + 0 -4 + 4n = 4 Add '4' to each side of the equation. -4 + 4 + 4n = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 4n = 4 + 4 4n = 4 + 4 Combine like terms: 4 + 4 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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