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Simplifying 83 = 5(7 + 2n) + -4n 83 = (7 * 5 + 2n * 5) + -4n 83 = (35 + 10n) + -4n Combine like terms: 10n + -4n = 6n 83 = 35 + 6n Solving 83 = 35 + 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. 83 + -6n = 35 + 6n + -6n Combine like terms: 6n + -6n = 0 83 + -6n = 35 + 0 83 + -6n = 35 Add '-83' to each side of the equation. 83 + -83 + -6n = 35 + -83 Combine like terms: 83 + -83 = 0 0 + -6n = 35 + -83 -6n = 35 + -83 Combine like terms: 35 + -83 = -48 -6n = -48 Divide each side by '-6'. n = 8 Simplifying n = 8
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