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Simplifying 9 + n = -2 + 5(8 + 6n) 9 + n = -2 + (8 * 5 + 6n * 5) 9 + n = -2 + (40 + 30n) Combine like terms: -2 + 40 = 38 9 + n = 38 + 30n Solving 9 + n = 38 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 9 + n + -30n = 38 + 30n + -30n Combine like terms: n + -30n = -29n 9 + -29n = 38 + 30n + -30n Combine like terms: 30n + -30n = 0 9 + -29n = 38 + 0 9 + -29n = 38 Add '-9' to each side of the equation. 9 + -9 + -29n = 38 + -9 Combine like terms: 9 + -9 = 0 0 + -29n = 38 + -9 -29n = 38 + -9 Combine like terms: 38 + -9 = 29 -29n = 29 Divide each side by '-29'. n = -1 Simplifying n = -1
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