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Simplifying -10(6 + 9n) + 5(7 + 6n) = 95 (6 * -10 + 9n * -10) + 5(7 + 6n) = 95 (-60 + -90n) + 5(7 + 6n) = 95 -60 + -90n + (7 * 5 + 6n * 5) = 95 -60 + -90n + (35 + 30n) = 95 Reorder the terms: -60 + 35 + -90n + 30n = 95 Combine like terms: -60 + 35 = -25 -25 + -90n + 30n = 95 Combine like terms: -90n + 30n = -60n -25 + -60n = 95 Solving -25 + -60n = 95 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -60n = 95 + 25 Combine like terms: -25 + 25 = 0 0 + -60n = 95 + 25 -60n = 95 + 25 Combine like terms: 95 + 25 = 120 -60n = 120 Divide each side by '-60'. n = -2 Simplifying n = -2
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