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Simplifying 0.2n + 9 = 8 + -1(0.4n + -1) Reorder the terms: 9 + 0.2n = 8 + -1(0.4n + -1) Reorder the terms: 9 + 0.2n = 8 + -1(-1 + 0.4n) 9 + 0.2n = 8 + (-1 * -1 + 0.4n * -1) 9 + 0.2n = 8 + (1 + -0.4n) Combine like terms: 8 + 1 = 9 9 + 0.2n = 9 + -0.4n Add '-9' to each side of the equation. 9 + -9 + 0.2n = 9 + -9 + -0.4n Combine like terms: 9 + -9 = 0 0 + 0.2n = 9 + -9 + -0.4n 0.2n = 9 + -9 + -0.4n Combine like terms: 9 + -9 = 0 0.2n = 0 + -0.4n 0.2n = -0.4n Solving 0.2n = -0.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.4n' to each side of the equation. 0.2n + 0.4n = -0.4n + 0.4n Combine like terms: 0.2n + 0.4n = 0.6n 0.6n = -0.4n + 0.4n Combine like terms: -0.4n + 0.4n = 0.0 0.6n = 0.0 Divide each side by '0.6'. n = 0 Simplifying n = 0
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