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Simplifying 0.13n + 3 + -0.4n = 0.23n + -0.5 Reorder the terms: 3 + 0.13n + -0.4n = 0.23n + -0.5 Combine like terms: 0.13n + -0.4n = -0.27n 3 + -0.27n = 0.23n + -0.5 Reorder the terms: 3 + -0.27n = -0.5 + 0.23n Solving 3 + -0.27n = -0.5 + 0.23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.23n' to each side of the equation. 3 + -0.27n + -0.23n = -0.5 + 0.23n + -0.23n Combine like terms: -0.27n + -0.23n = -0.5n 3 + -0.5n = -0.5 + 0.23n + -0.23n Combine like terms: 0.23n + -0.23n = 0.00 3 + -0.5n = -0.5 + 0.00 3 + -0.5n = -0.5 Add '-3' to each side of the equation. 3 + -3 + -0.5n = -0.5 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5n = -0.5 + -3 -0.5n = -0.5 + -3 Combine like terms: -0.5 + -3 = -3.5 -0.5n = -3.5 Divide each side by '-0.5'. n = 7 Simplifying n = 7
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