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Simplifying -25 + -6n = 8n + -5(5 + 7n) -25 + -6n = 8n + (5 * -5 + 7n * -5) -25 + -6n = 8n + (-25 + -35n) Reorder the terms: -25 + -6n = -25 + 8n + -35n Combine like terms: 8n + -35n = -27n -25 + -6n = -25 + -27n Add '25' to each side of the equation. -25 + 25 + -6n = -25 + 25 + -27n Combine like terms: -25 + 25 = 0 0 + -6n = -25 + 25 + -27n -6n = -25 + 25 + -27n Combine like terms: -25 + 25 = 0 -6n = 0 + -27n -6n = -27n Solving -6n = -27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '27n' to each side of the equation. -6n + 27n = -27n + 27n Combine like terms: -6n + 27n = 21n 21n = -27n + 27n Combine like terms: -27n + 27n = 0 21n = 0 Divide each side by '21'. n = 0 Simplifying n = 0
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