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Simplifying 5(5n + 5) + 7 = -28 + 5n Reorder the terms: 5(5 + 5n) + 7 = -28 + 5n (5 * 5 + 5n * 5) + 7 = -28 + 5n (25 + 25n) + 7 = -28 + 5n Reorder the terms: 25 + 7 + 25n = -28 + 5n Combine like terms: 25 + 7 = 32 32 + 25n = -28 + 5n Solving 32 + 25n = -28 + 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. 32 + 25n + -5n = -28 + 5n + -5n Combine like terms: 25n + -5n = 20n 32 + 20n = -28 + 5n + -5n Combine like terms: 5n + -5n = 0 32 + 20n = -28 + 0 32 + 20n = -28 Add '-32' to each side of the equation. 32 + -32 + 20n = -28 + -32 Combine like terms: 32 + -32 = 0 0 + 20n = -28 + -32 20n = -28 + -32 Combine like terms: -28 + -32 = -60 20n = -60 Divide each side by '20'. n = -3 Simplifying n = -3
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