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Simplifying n + -3.3n + 0.6 = -6.7(n + -6) Reorder the terms: 0.6 + n + -3.3n = -6.7(n + -6) Combine like terms: n + -3.3n = -2.3n 0.6 + -2.3n = -6.7(n + -6) Reorder the terms: 0.6 + -2.3n = -6.7(-6 + n) 0.6 + -2.3n = (-6 * -6.7 + n * -6.7) 0.6 + -2.3n = (40.2 + -6.7n) Solving 0.6 + -2.3n = 40.2 + -6.7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6.7n' to each side of the equation. 0.6 + -2.3n + 6.7n = 40.2 + -6.7n + 6.7n Combine like terms: -2.3n + 6.7n = 4.4n 0.6 + 4.4n = 40.2 + -6.7n + 6.7n Combine like terms: -6.7n + 6.7n = 0.0 0.6 + 4.4n = 40.2 + 0.0 0.6 + 4.4n = 40.2 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 4.4n = 40.2 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 4.4n = 40.2 + -0.6 4.4n = 40.2 + -0.6 Combine like terms: 40.2 + -0.6 = 39.6 4.4n = 39.6 Divide each side by '4.4'. n = 9 Simplifying n = 9
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