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Simplifying 114 + (-18) = 11n + (-29) 114 + -18 = 11n + (-29) Combine like terms: 114 + -18 = 96 96 = 11n + (-29) 96 = 11n + -29 Reorder the terms: 96 = -29 + 11n Solving 96 = -29 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 96 + -11n = -29 + 11n + -11n Combine like terms: 11n + -11n = 0 96 + -11n = -29 + 0 96 + -11n = -29 Add '-96' to each side of the equation. 96 + -96 + -11n = -29 + -96 Combine like terms: 96 + -96 = 0 0 + -11n = -29 + -96 -11n = -29 + -96 Combine like terms: -29 + -96 = -125 -11n = -125 Divide each side by '-11'. n = 11.36363636 Simplifying n = 11.36363636
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