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Simplifying -6(1 + 4n) = -174 (1 * -6 + 4n * -6) = -174 (-6 + -24n) = -174 Solving -6 + -24n = -174 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -24n = -174 + 6 Combine like terms: -6 + 6 = 0 0 + -24n = -174 + 6 -24n = -174 + 6 Combine like terms: -174 + 6 = -168 -24n = -168 Divide each side by '-24'. n = 7 Simplifying n = 7
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