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Simplifying 2n + 9n = 8(-12 + 2) + 10(9n + 12) Combine like terms: 2n + 9n = 11n 11n = 8(-12 + 2) + 10(9n + 12) Combine like terms: -12 + 2 = -10 11n = 8(-10) + 10(9n + 12) Multiply 8 * -10 11n = -80 + 10(9n + 12) Reorder the terms: 11n = -80 + 10(12 + 9n) 11n = -80 + (12 * 10 + 9n * 10) 11n = -80 + (120 + 90n) Combine like terms: -80 + 120 = 40 11n = 40 + 90n Solving 11n = 40 + 90n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-90n' to each side of the equation. 11n + -90n = 40 + 90n + -90n Combine like terms: 11n + -90n = -79n -79n = 40 + 90n + -90n Combine like terms: 90n + -90n = 0 -79n = 40 + 0 -79n = 40 Divide each side by '-79'. n = -0.5063291139 Simplifying n = -0.5063291139
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