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Simplifying -16.5 = -9.5 + 6(n + 2.5) Reorder the terms: -16.5 = -9.5 + 6(2.5 + n) -16.5 = -9.5 + (2.5 * 6 + n * 6) -16.5 = -9.5 + (15 + 6n) Combine like terms: -9.5 + 15 = 5.5 -16.5 = 5.5 + 6n Solving -16.5 = 5.5 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -16.5 + -6n = 5.5 + 6n + -6n Combine like terms: 6n + -6n = 0 -16.5 + -6n = 5.5 + 0 -16.5 + -6n = 5.5 Add '16.5' to each side of the equation. -16.5 + 16.5 + -6n = 5.5 + 16.5 Combine like terms: -16.5 + 16.5 = 0.0 0.0 + -6n = 5.5 + 16.5 -6n = 5.5 + 16.5 Combine like terms: 5.5 + 16.5 = 22 -6n = 22 Divide each side by '-6'. n = -3.666666667 Simplifying n = -3.666666667
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