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Simplifying 5(-5n + 7) = 15 + -5n Reorder the terms: 5(7 + -5n) = 15 + -5n (7 * 5 + -5n * 5) = 15 + -5n (35 + -25n) = 15 + -5n Solving 35 + -25n = 15 + -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. 35 + -25n + 5n = 15 + -5n + 5n Combine like terms: -25n + 5n = -20n 35 + -20n = 15 + -5n + 5n Combine like terms: -5n + 5n = 0 35 + -20n = 15 + 0 35 + -20n = 15 Add '-35' to each side of the equation. 35 + -35 + -20n = 15 + -35 Combine like terms: 35 + -35 = 0 0 + -20n = 15 + -35 -20n = 15 + -35 Combine like terms: 15 + -35 = -20 -20n = -20 Divide each side by '-20'. n = 1 Simplifying n = 1
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