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Simplifying -6(8 + 4n) + 5(1 + 4n) = -1 (8 * -6 + 4n * -6) + 5(1 + 4n) = -1 (-48 + -24n) + 5(1 + 4n) = -1 -48 + -24n + (1 * 5 + 4n * 5) = -1 -48 + -24n + (5 + 20n) = -1 Reorder the terms: -48 + 5 + -24n + 20n = -1 Combine like terms: -48 + 5 = -43 -43 + -24n + 20n = -1 Combine like terms: -24n + 20n = -4n -43 + -4n = -1 Solving -43 + -4n = -1 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -4n = -1 + 43 Combine like terms: -43 + 43 = 0 0 + -4n = -1 + 43 -4n = -1 + 43 Combine like terms: -1 + 43 = 42 -4n = 42 Divide each side by '-4'. n = -10.5 Simplifying n = -10.5
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