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Simplifying n + -1.6n + 2.2 = -4(n + 5.4) Reorder the terms: 2.2 + n + -1.6n = -4(n + 5.4) Combine like terms: n + -1.6n = -0.6n 2.2 + -0.6n = -4(n + 5.4) Reorder the terms: 2.2 + -0.6n = -4(5.4 + n) 2.2 + -0.6n = (5.4 * -4 + n * -4) 2.2 + -0.6n = (-21.6 + -4n) Solving 2.2 + -0.6n = -21.6 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 2.2 + -0.6n + 4n = -21.6 + -4n + 4n Combine like terms: -0.6n + 4n = 3.4n 2.2 + 3.4n = -21.6 + -4n + 4n Combine like terms: -4n + 4n = 0 2.2 + 3.4n = -21.6 + 0 2.2 + 3.4n = -21.6 Add '-2.2' to each side of the equation. 2.2 + -2.2 + 3.4n = -21.6 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + 3.4n = -21.6 + -2.2 3.4n = -21.6 + -2.2 Combine like terms: -21.6 + -2.2 = -23.8 3.4n = -23.8 Divide each side by '3.4'. n = -7 Simplifying n = -7
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