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Simplifying -2n + -2.2(-3 + 7n) = 17.4 + -5.4n -2n + (-3 * -2.2 + 7n * -2.2) = 17.4 + -5.4n -2n + (6.6 + -15.4n) = 17.4 + -5.4n Reorder the terms: 6.6 + -2n + -15.4n = 17.4 + -5.4n Combine like terms: -2n + -15.4n = -17.4n 6.6 + -17.4n = 17.4 + -5.4n Solving 6.6 + -17.4n = 17.4 + -5.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5.4n' to each side of the equation. 6.6 + -17.4n + 5.4n = 17.4 + -5.4n + 5.4n Combine like terms: -17.4n + 5.4n = -12n 6.6 + -12n = 17.4 + -5.4n + 5.4n Combine like terms: -5.4n + 5.4n = 0.0 6.6 + -12n = 17.4 + 0.0 6.6 + -12n = 17.4 Add '-6.6' to each side of the equation. 6.6 + -6.6 + -12n = 17.4 + -6.6 Combine like terms: 6.6 + -6.6 = 0.0 0.0 + -12n = 17.4 + -6.6 -12n = 17.4 + -6.6 Combine like terms: 17.4 + -6.6 = 10.8 -12n = 10.8 Divide each side by '-12'. n = -0.9 Simplifying n = -0.9
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