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Simplifying 5(-5n + 6) = 5n + -30 Reorder the terms: 5(6 + -5n) = 5n + -30 (6 * 5 + -5n * 5) = 5n + -30 (30 + -25n) = 5n + -30 Reorder the terms: 30 + -25n = -30 + 5n Solving 30 + -25n = -30 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 30 + -25n + -5n = -30 + 5n + -5n Combine like terms: -25n + -5n = -30n 30 + -30n = -30 + 5n + -5n Combine like terms: 5n + -5n = 0 30 + -30n = -30 + 0 30 + -30n = -30 Add '-30' to each side of the equation. 30 + -30 + -30n = -30 + -30 Combine like terms: 30 + -30 = 0 0 + -30n = -30 + -30 -30n = -30 + -30 Combine like terms: -30 + -30 = -60 -30n = -60 Divide each side by '-30'. n = 2 Simplifying n = 2
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