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Simplifying 0.2(n + 4) = 0.6(n + -1) + 0.2 Reorder the terms: 0.2(4 + n) = 0.6(n + -1) + 0.2 (4 * 0.2 + n * 0.2) = 0.6(n + -1) + 0.2 (0.8 + 0.2n) = 0.6(n + -1) + 0.2 Reorder the terms: 0.8 + 0.2n = 0.6(-1 + n) + 0.2 0.8 + 0.2n = (-1 * 0.6 + n * 0.6) + 0.2 0.8 + 0.2n = (-0.6 + 0.6n) + 0.2 Reorder the terms: 0.8 + 0.2n = -0.6 + 0.2 + 0.6n Combine like terms: -0.6 + 0.2 = -0.4 0.8 + 0.2n = -0.4 + 0.6n Solving 0.8 + 0.2n = -0.4 + 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. 0.8 + 0.2n + -0.6n = -0.4 + 0.6n + -0.6n Combine like terms: 0.2n + -0.6n = -0.4n 0.8 + -0.4n = -0.4 + 0.6n + -0.6n Combine like terms: 0.6n + -0.6n = 0.0 0.8 + -0.4n = -0.4 + 0.0 0.8 + -0.4n = -0.4 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.4n = -0.4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.4n = -0.4 + -0.8 -0.4n = -0.4 + -0.8 Combine like terms: -0.4 + -0.8 = -1.2 -0.4n = -1.2 Divide each side by '-0.4'. n = 3 Simplifying n = 3
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