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Simplifying 0.6(n + 8) = 6n + 48 Reorder the terms: 0.6(8 + n) = 6n + 48 (8 * 0.6 + n * 0.6) = 6n + 48 (4.8 + 0.6n) = 6n + 48 Reorder the terms: 4.8 + 0.6n = 48 + 6n Solving 4.8 + 0.6n = 48 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 4.8 + 0.6n + -6n = 48 + 6n + -6n Combine like terms: 0.6n + -6n = -5.4n 4.8 + -5.4n = 48 + 6n + -6n Combine like terms: 6n + -6n = 0 4.8 + -5.4n = 48 + 0 4.8 + -5.4n = 48 Add '-4.8' to each side of the equation. 4.8 + -4.8 + -5.4n = 48 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -5.4n = 48 + -4.8 -5.4n = 48 + -4.8 Combine like terms: 48 + -4.8 = 43.2 -5.4n = 43.2 Divide each side by '-5.4'. n = -8 Simplifying n = -8
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