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Simplifying 25 + -6n = -5 + -4(2n + -8) Reorder the terms: 25 + -6n = -5 + -4(-8 + 2n) 25 + -6n = -5 + (-8 * -4 + 2n * -4) 25 + -6n = -5 + (32 + -8n) Combine like terms: -5 + 32 = 27 25 + -6n = 27 + -8n Solving 25 + -6n = 27 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 25 + -6n + 8n = 27 + -8n + 8n Combine like terms: -6n + 8n = 2n 25 + 2n = 27 + -8n + 8n Combine like terms: -8n + 8n = 0 25 + 2n = 27 + 0 25 + 2n = 27 Add '-25' to each side of the equation. 25 + -25 + 2n = 27 + -25 Combine like terms: 25 + -25 = 0 0 + 2n = 27 + -25 2n = 27 + -25 Combine like terms: 27 + -25 = 2 2n = 2 Divide each side by '2'. n = 1 Simplifying n = 1
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