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Simplifying 7 + 6(5 + -4n) = -83 7 + (5 * 6 + -4n * 6) = -83 7 + (30 + -24n) = -83 Combine like terms: 7 + 30 = 37 37 + -24n = -83 Solving 37 + -24n = -83 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -24n = -83 + -37 Combine like terms: 37 + -37 = 0 0 + -24n = -83 + -37 -24n = -83 + -37 Combine like terms: -83 + -37 = -120 -24n = -120 Divide each side by '-24'. n = 5 Simplifying n = 5
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