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Simplifying 0.2(70 + 4n) = -1(19 + 2.2n) (70 * 0.2 + 4n * 0.2) = -1(19 + 2.2n) (14 + 0.8n) = -1(19 + 2.2n) 14 + 0.8n = (19 * -1 + 2.2n * -1) 14 + 0.8n = (-19 + -2.2n) Solving 14 + 0.8n = -19 + -2.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2.2n' to each side of the equation. 14 + 0.8n + 2.2n = -19 + -2.2n + 2.2n Combine like terms: 0.8n + 2.2n = 3n 14 + 3n = -19 + -2.2n + 2.2n Combine like terms: -2.2n + 2.2n = 0.0 14 + 3n = -19 + 0.0 14 + 3n = -19 Add '-14' to each side of the equation. 14 + -14 + 3n = -19 + -14 Combine like terms: 14 + -14 = 0 0 + 3n = -19 + -14 3n = -19 + -14 Combine like terms: -19 + -14 = -33 3n = -33 Divide each side by '3'. n = -11 Simplifying n = -11
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