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Simplifying 0.5n + -1.42 = 0.66n + -2.17 Reorder the terms: -1.42 + 0.5n = 0.66n + -2.17 Reorder the terms: -1.42 + 0.5n = -2.17 + 0.66n Solving -1.42 + 0.5n = -2.17 + 0.66n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.66n' to each side of the equation. -1.42 + 0.5n + -0.66n = -2.17 + 0.66n + -0.66n Combine like terms: 0.5n + -0.66n = -0.16n -1.42 + -0.16n = -2.17 + 0.66n + -0.66n Combine like terms: 0.66n + -0.66n = 0.00 -1.42 + -0.16n = -2.17 + 0.00 -1.42 + -0.16n = -2.17 Add '1.42' to each side of the equation. -1.42 + 1.42 + -0.16n = -2.17 + 1.42 Combine like terms: -1.42 + 1.42 = 0.00 0.00 + -0.16n = -2.17 + 1.42 -0.16n = -2.17 + 1.42 Combine like terms: -2.17 + 1.42 = -0.75 -0.16n = -0.75 Divide each side by '-0.16'. n = 4.6875 Simplifying n = 4.6875
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