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Simplifying 4(-5 + -5n) + 3n = 82 (-5 * 4 + -5n * 4) + 3n = 82 (-20 + -20n) + 3n = 82 Combine like terms: -20n + 3n = -17n -20 + -17n = 82 Solving -20 + -17n = 82 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -17n = 82 + 20 Combine like terms: -20 + 20 = 0 0 + -17n = 82 + 20 -17n = 82 + 20 Combine like terms: 82 + 20 = 102 -17n = 102 Divide each side by '-17'. n = -6 Simplifying n = -6
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