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Simplifying -6(1 + 4n) + 4n = -2n + -24 (1 * -6 + 4n * -6) + 4n = -2n + -24 (-6 + -24n) + 4n = -2n + -24 Combine like terms: -24n + 4n = -20n -6 + -20n = -2n + -24 Reorder the terms: -6 + -20n = -24 + -2n Solving -6 + -20n = -24 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -6 + -20n + 2n = -24 + -2n + 2n Combine like terms: -20n + 2n = -18n -6 + -18n = -24 + -2n + 2n Combine like terms: -2n + 2n = 0 -6 + -18n = -24 + 0 -6 + -18n = -24 Add '6' to each side of the equation. -6 + 6 + -18n = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -18n = -24 + 6 -18n = -24 + 6 Combine like terms: -24 + 6 = -18 -18n = -18 Divide each side by '-18'. n = 1 Simplifying n = 1
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