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Simplifying -2n + 20 = -2(3n + 8) + -2n Reorder the terms: 20 + -2n = -2(3n + 8) + -2n Reorder the terms: 20 + -2n = -2(8 + 3n) + -2n 20 + -2n = (8 * -2 + 3n * -2) + -2n 20 + -2n = (-16 + -6n) + -2n Combine like terms: -6n + -2n = -8n 20 + -2n = -16 + -8n Solving 20 + -2n = -16 + -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. 20 + -2n + 8n = -16 + -8n + 8n Combine like terms: -2n + 8n = 6n 20 + 6n = -16 + -8n + 8n Combine like terms: -8n + 8n = 0 20 + 6n = -16 + 0 20 + 6n = -16 Add '-20' to each side of the equation. 20 + -20 + 6n = -16 + -20 Combine like terms: 20 + -20 = 0 0 + 6n = -16 + -20 6n = -16 + -20 Combine like terms: -16 + -20 = -36 6n = -36 Divide each side by '6'. n = -6 Simplifying n = -6
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