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Simplifying 83 = 3 + 5(-5 + 3n) 83 = 3 + (-5 * 5 + 3n * 5) 83 = 3 + (-25 + 15n) Combine like terms: 3 + -25 = -22 83 = -22 + 15n Solving 83 = -22 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 83 + -15n = -22 + 15n + -15n Combine like terms: 15n + -15n = 0 83 + -15n = -22 + 0 83 + -15n = -22 Add '-83' to each side of the equation. 83 + -83 + -15n = -22 + -83 Combine like terms: 83 + -83 = 0 0 + -15n = -22 + -83 -15n = -22 + -83 Combine like terms: -22 + -83 = -105 -15n = -105 Divide each side by '-15'. n = 7 Simplifying n = 7
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