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Simplifying 5(n + 2) = 0.6(5 + 10n) Reorder the terms: 5(2 + n) = 0.6(5 + 10n) (2 * 5 + n * 5) = 0.6(5 + 10n) (10 + 5n) = 0.6(5 + 10n) 10 + 5n = (5 * 0.6 + 10n * 0.6) 10 + 5n = (3 + 6n) Solving 10 + 5n = 3 + 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. 10 + 5n + -6n = 3 + 6n + -6n Combine like terms: 5n + -6n = -1n 10 + -1n = 3 + 6n + -6n Combine like terms: 6n + -6n = 0 10 + -1n = 3 + 0 10 + -1n = 3 Add '-10' to each side of the equation. 10 + -10 + -1n = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = 3 + -10 -1n = 3 + -10 Combine like terms: 3 + -10 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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