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Simplifying 2(n + -5) + -1(7 + -1n) = 0 Reorder the terms: 2(-5 + n) + -1(7 + -1n) = 0 (-5 * 2 + n * 2) + -1(7 + -1n) = 0 (-10 + 2n) + -1(7 + -1n) = 0 -10 + 2n + (7 * -1 + -1n * -1) = 0 -10 + 2n + (-7 + 1n) = 0 Reorder the terms: -10 + -7 + 2n + 1n = 0 Combine like terms: -10 + -7 = -17 -17 + 2n + 1n = 0 Combine like terms: 2n + 1n = 3n -17 + 3n = 0 Solving -17 + 3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 3n = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 3n = 0 + 17 3n = 0 + 17 Combine like terms: 0 + 17 = 17 3n = 17 Divide each side by '3'. n = 5.666666667 Simplifying n = 5.666666667
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