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Simplifying 24 + 4n = 2(-3n + 2) Reorder the terms: 24 + 4n = 2(2 + -3n) 24 + 4n = (2 * 2 + -3n * 2) 24 + 4n = (4 + -6n) Solving 24 + 4n = 4 + -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. 24 + 4n + 6n = 4 + -6n + 6n Combine like terms: 4n + 6n = 10n 24 + 10n = 4 + -6n + 6n Combine like terms: -6n + 6n = 0 24 + 10n = 4 + 0 24 + 10n = 4 Add '-24' to each side of the equation. 24 + -24 + 10n = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 10n = 4 + -24 10n = 4 + -24 Combine like terms: 4 + -24 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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