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Simplifying 0.5n + -1.416 = 0.666n + -2.166 Reorder the terms: -1.416 + 0.5n = 0.666n + -2.166 Reorder the terms: -1.416 + 0.5n = -2.166 + 0.666n Solving -1.416 + 0.5n = -2.166 + 0.666n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.666n' to each side of the equation. -1.416 + 0.5n + -0.666n = -2.166 + 0.666n + -0.666n Combine like terms: 0.5n + -0.666n = -0.166n -1.416 + -0.166n = -2.166 + 0.666n + -0.666n Combine like terms: 0.666n + -0.666n = 0.000 -1.416 + -0.166n = -2.166 + 0.000 -1.416 + -0.166n = -2.166 Add '1.416' to each side of the equation. -1.416 + 1.416 + -0.166n = -2.166 + 1.416 Combine like terms: -1.416 + 1.416 = 0.000 0.000 + -0.166n = -2.166 + 1.416 -0.166n = -2.166 + 1.416 Combine like terms: -2.166 + 1.416 = -0.75 -0.166n = -0.75 Divide each side by '-0.166'. n = 4.518072289 Simplifying n = 4.518072289
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