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Simplifying -199 = 6(1 + -5n) + 5 -199 = (1 * 6 + -5n * 6) + 5 -199 = (6 + -30n) + 5 Reorder the terms: -199 = 6 + 5 + -30n Combine like terms: 6 + 5 = 11 -199 = 11 + -30n Solving -199 = 11 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. -199 + 30n = 11 + -30n + 30n Combine like terms: -30n + 30n = 0 -199 + 30n = 11 + 0 -199 + 30n = 11 Add '199' to each side of the equation. -199 + 199 + 30n = 11 + 199 Combine like terms: -199 + 199 = 0 0 + 30n = 11 + 199 30n = 11 + 199 Combine like terms: 11 + 199 = 210 30n = 210 Divide each side by '30'. n = 7 Simplifying n = 7
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