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Simplifying -18.5 = -5.5 + 9(n + 2.5) Reorder the terms: -18.5 = -5.5 + 9(2.5 + n) -18.5 = -5.5 + (2.5 * 9 + n * 9) -18.5 = -5.5 + (22.5 + 9n) Combine like terms: -5.5 + 22.5 = 17 -18.5 = 17 + 9n Solving -18.5 = 17 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -18.5 + -9n = 17 + 9n + -9n Combine like terms: 9n + -9n = 0 -18.5 + -9n = 17 + 0 -18.5 + -9n = 17 Add '18.5' to each side of the equation. -18.5 + 18.5 + -9n = 17 + 18.5 Combine like terms: -18.5 + 18.5 = 0.0 0.0 + -9n = 17 + 18.5 -9n = 17 + 18.5 Combine like terms: 17 + 18.5 = 35.5 -9n = 35.5 Divide each side by '-9'. n = -3.944444444 Simplifying n = -3.944444444
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