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Simplifying 4n + 5(5n + 3) = -130 Reorder the terms: 4n + 5(3 + 5n) = -130 4n + (3 * 5 + 5n * 5) = -130 4n + (15 + 25n) = -130 Reorder the terms: 15 + 4n + 25n = -130 Combine like terms: 4n + 25n = 29n 15 + 29n = -130 Solving 15 + 29n = -130 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 29n = -130 + -15 Combine like terms: 15 + -15 = 0 0 + 29n = -130 + -15 29n = -130 + -15 Combine like terms: -130 + -15 = -145 29n = -145 Divide each side by '29'. n = -5 Simplifying n = -5
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