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Simplifying -4(n + 6) + -1(1 + 2n) = 0 Reorder the terms: -4(6 + n) + -1(1 + 2n) = 0 (6 * -4 + n * -4) + -1(1 + 2n) = 0 (-24 + -4n) + -1(1 + 2n) = 0 -24 + -4n + (1 * -1 + 2n * -1) = 0 -24 + -4n + (-1 + -2n) = 0 Reorder the terms: -24 + -1 + -4n + -2n = 0 Combine like terms: -24 + -1 = -25 -25 + -4n + -2n = 0 Combine like terms: -4n + -2n = -6n -25 + -6n = 0 Solving -25 + -6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -6n = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -6n = 0 + 25 -6n = 0 + 25 Combine like terms: 0 + 25 = 25 -6n = 25 Divide each side by '-6'. n = -4.166666667 Simplifying n = -4.166666667
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