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Simplifying -5(-5 + -5n) + -3 = 7n + -32 (-5 * -5 + -5n * -5) + -3 = 7n + -32 (25 + 25n) + -3 = 7n + -32 Reorder the terms: 25 + -3 + 25n = 7n + -32 Combine like terms: 25 + -3 = 22 22 + 25n = 7n + -32 Reorder the terms: 22 + 25n = -32 + 7n Solving 22 + 25n = -32 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 22 + 25n + -7n = -32 + 7n + -7n Combine like terms: 25n + -7n = 18n 22 + 18n = -32 + 7n + -7n Combine like terms: 7n + -7n = 0 22 + 18n = -32 + 0 22 + 18n = -32 Add '-22' to each side of the equation. 22 + -22 + 18n = -32 + -22 Combine like terms: 22 + -22 = 0 0 + 18n = -32 + -22 18n = -32 + -22 Combine like terms: -32 + -22 = -54 18n = -54 Divide each side by '18'. n = -3 Simplifying n = -3
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