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Simplifying 7 + -1(n + -5) + -2n + -9 = n + -17 Reorder the terms: 7 + -1(-5 + n) + -2n + -9 = n + -17 7 + (-5 * -1 + n * -1) + -2n + -9 = n + -17 7 + (5 + -1n) + -2n + -9 = n + -17 Reorder the terms: 7 + 5 + -9 + -1n + -2n = n + -17 Combine like terms: 7 + 5 = 12 12 + -9 + -1n + -2n = n + -17 Combine like terms: 12 + -9 = 3 3 + -1n + -2n = n + -17 Combine like terms: -1n + -2n = -3n 3 + -3n = n + -17 Reorder the terms: 3 + -3n = -17 + n Solving 3 + -3n = -17 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 3 + -3n + -1n = -17 + n + -1n Combine like terms: -3n + -1n = -4n 3 + -4n = -17 + n + -1n Combine like terms: n + -1n = 0 3 + -4n = -17 + 0 3 + -4n = -17 Add '-3' to each side of the equation. 3 + -3 + -4n = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -4n = -17 + -3 -4n = -17 + -3 Combine like terms: -17 + -3 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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