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Simplifying n + 2.2n + 1.8 = 5.5(n + 6.6) Reorder the terms: 1.8 + n + 2.2n = 5.5(n + 6.6) Combine like terms: n + 2.2n = 3.2n 1.8 + 3.2n = 5.5(n + 6.6) Reorder the terms: 1.8 + 3.2n = 5.5(6.6 + n) 1.8 + 3.2n = (6.6 * 5.5 + n * 5.5) 1.8 + 3.2n = (36.3 + 5.5n) Solving 1.8 + 3.2n = 36.3 + 5.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5.5n' to each side of the equation. 1.8 + 3.2n + -5.5n = 36.3 + 5.5n + -5.5n Combine like terms: 3.2n + -5.5n = -2.3n 1.8 + -2.3n = 36.3 + 5.5n + -5.5n Combine like terms: 5.5n + -5.5n = 0.0 1.8 + -2.3n = 36.3 + 0.0 1.8 + -2.3n = 36.3 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -2.3n = 36.3 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -2.3n = 36.3 + -1.8 -2.3n = 36.3 + -1.8 Combine like terms: 36.3 + -1.8 = 34.5 -2.3n = 34.5 Divide each side by '-2.3'. n = -15 Simplifying n = -15
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