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Simplifying 0.2n + 0.5 = 0.6(n + 3) Reorder the terms: 0.5 + 0.2n = 0.6(n + 3) Reorder the terms: 0.5 + 0.2n = 0.6(3 + n) 0.5 + 0.2n = (3 * 0.6 + n * 0.6) 0.5 + 0.2n = (1.8 + 0.6n) Solving 0.5 + 0.2n = 1.8 + 0.6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.6n' to each side of the equation. 0.5 + 0.2n + -0.6n = 1.8 + 0.6n + -0.6n Combine like terms: 0.2n + -0.6n = -0.4n 0.5 + -0.4n = 1.8 + 0.6n + -0.6n Combine like terms: 0.6n + -0.6n = 0.0 0.5 + -0.4n = 1.8 + 0.0 0.5 + -0.4n = 1.8 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.4n = 1.8 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.4n = 1.8 + -0.5 -0.4n = 1.8 + -0.5 Combine like terms: 1.8 + -0.5 = 1.3 -0.4n = 1.3 Divide each side by '-0.4'. n = -3.25 Simplifying n = -3.25
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