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Simplifying 4(n + -5) + 2n + -2 = 0 Reorder the terms: 4(-5 + n) + 2n + -2 = 0 (-5 * 4 + n * 4) + 2n + -2 = 0 (-20 + 4n) + 2n + -2 = 0 Reorder the terms: -20 + -2 + 4n + 2n = 0 Combine like terms: -20 + -2 = -22 -22 + 4n + 2n = 0 Combine like terms: 4n + 2n = 6n -22 + 6n = 0 Solving -22 + 6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 6n = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 6n = 0 + 22 6n = 0 + 22 Combine like terms: 0 + 22 = 22 6n = 22 Divide each side by '6'. n = 3.666666667 Simplifying n = 3.666666667
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