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Simplifying 6(1 + 5n) = -174 (1 * 6 + 5n * 6) = -174 (6 + 30n) = -174 Solving 6 + 30n = -174 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 30n = -174 + -6 Combine like terms: 6 + -6 = 0 0 + 30n = -174 + -6 30n = -174 + -6 Combine like terms: -174 + -6 = -180 30n = -180 Divide each side by '30'. n = -6 Simplifying n = -6
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