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Simplifying 1 + 9(-2 + n) = -11n + -9(5 + -3n) 1 + (-2 * 9 + n * 9) = -11n + -9(5 + -3n) 1 + (-18 + 9n) = -11n + -9(5 + -3n) Combine like terms: 1 + -18 = -17 -17 + 9n = -11n + -9(5 + -3n) -17 + 9n = -11n + (5 * -9 + -3n * -9) -17 + 9n = -11n + (-45 + 27n) Reorder the terms: -17 + 9n = -45 + -11n + 27n Combine like terms: -11n + 27n = 16n -17 + 9n = -45 + 16n Solving -17 + 9n = -45 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -17 + 9n + -16n = -45 + 16n + -16n Combine like terms: 9n + -16n = -7n -17 + -7n = -45 + 16n + -16n Combine like terms: 16n + -16n = 0 -17 + -7n = -45 + 0 -17 + -7n = -45 Add '17' to each side of the equation. -17 + 17 + -7n = -45 + 17 Combine like terms: -17 + 17 = 0 0 + -7n = -45 + 17 -7n = -45 + 17 Combine like terms: -45 + 17 = -28 -7n = -28 Divide each side by '-7'. n = 4 Simplifying n = 4
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