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Simplifying 9 = 3(-5 + -2n) + -6(1 + -5n) 9 = (-5 * 3 + -2n * 3) + -6(1 + -5n) 9 = (-15 + -6n) + -6(1 + -5n) 9 = -15 + -6n + (1 * -6 + -5n * -6) 9 = -15 + -6n + (-6 + 30n) Reorder the terms: 9 = -15 + -6 + -6n + 30n Combine like terms: -15 + -6 = -21 9 = -21 + -6n + 30n Combine like terms: -6n + 30n = 24n 9 = -21 + 24n Solving 9 = -21 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 9 + -24n = -21 + 24n + -24n Combine like terms: 24n + -24n = 0 9 + -24n = -21 + 0 9 + -24n = -21 Add '-9' to each side of the equation. 9 + -9 + -24n = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -24n = -21 + -9 -24n = -21 + -9 Combine like terms: -21 + -9 = -30 -24n = -30 Divide each side by '-24'. n = 1.25 Simplifying n = 1.25
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