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Simplifying 0.2n + 1 = -0.13n + -2 Reorder the terms: 1 + 0.2n = -0.13n + -2 Reorder the terms: 1 + 0.2n = -2 + -0.13n Solving 1 + 0.2n = -2 + -0.13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.13n' to each side of the equation. 1 + 0.2n + 0.13n = -2 + -0.13n + 0.13n Combine like terms: 0.2n + 0.13n = 0.33n 1 + 0.33n = -2 + -0.13n + 0.13n Combine like terms: -0.13n + 0.13n = 0.00 1 + 0.33n = -2 + 0.00 1 + 0.33n = -2 Add '-1' to each side of the equation. 1 + -1 + 0.33n = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 0.33n = -2 + -1 0.33n = -2 + -1 Combine like terms: -2 + -1 = -3 0.33n = -3 Divide each side by '0.33'. n = -9.090909091 Simplifying n = -9.090909091
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