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Simplifying 0.33(9 + -54n) + -6 = -111 (9 * 0.33 + -54n * 0.33) + -6 = -111 (2.97 + -17.82n) + -6 = -111 Reorder the terms: 2.97 + -6 + -17.82n = -111 Combine like terms: 2.97 + -6 = -3.03 -3.03 + -17.82n = -111 Solving -3.03 + -17.82n = -111 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3.03' to each side of the equation. -3.03 + 3.03 + -17.82n = -111 + 3.03 Combine like terms: -3.03 + 3.03 = 0.00 0.00 + -17.82n = -111 + 3.03 -17.82n = -111 + 3.03 Combine like terms: -111 + 3.03 = -107.97 -17.82n = -107.97 Divide each side by '-17.82'. n = 6.058922559 Simplifying n = 6.058922559
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