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Simplifying 5(2n + 3) = 4n + 3 Reorder the terms: 5(3 + 2n) = 4n + 3 (3 * 5 + 2n * 5) = 4n + 3 (15 + 10n) = 4n + 3 Reorder the terms: 15 + 10n = 3 + 4n Solving 15 + 10n = 3 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 15 + 10n + -4n = 3 + 4n + -4n Combine like terms: 10n + -4n = 6n 15 + 6n = 3 + 4n + -4n Combine like terms: 4n + -4n = 0 15 + 6n = 3 + 0 15 + 6n = 3 Add '-15' to each side of the equation. 15 + -15 + 6n = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 6n = 3 + -15 6n = 3 + -15 Combine like terms: 3 + -15 = -12 6n = -12 Divide each side by '6'. n = -2 Simplifying n = -2
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