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Simplifying -4n + 5 = 2(-5n + 12) Reorder the terms: 5 + -4n = 2(-5n + 12) Reorder the terms: 5 + -4n = 2(12 + -5n) 5 + -4n = (12 * 2 + -5n * 2) 5 + -4n = (24 + -10n) Solving 5 + -4n = 24 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 5 + -4n + 10n = 24 + -10n + 10n Combine like terms: -4n + 10n = 6n 5 + 6n = 24 + -10n + 10n Combine like terms: -10n + 10n = 0 5 + 6n = 24 + 0 5 + 6n = 24 Add '-5' to each side of the equation. 5 + -5 + 6n = 24 + -5 Combine like terms: 5 + -5 = 0 0 + 6n = 24 + -5 6n = 24 + -5 Combine like terms: 24 + -5 = 19 6n = 19 Divide each side by '6'. n = 3.166666667 Simplifying n = 3.166666667
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