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Simplifying -6 + -2(-3n + -8) = 8n + 16 Reorder the terms: -6 + -2(-8 + -3n) = 8n + 16 -6 + (-8 * -2 + -3n * -2) = 8n + 16 -6 + (16 + 6n) = 8n + 16 Combine like terms: -6 + 16 = 10 10 + 6n = 8n + 16 Reorder the terms: 10 + 6n = 16 + 8n Solving 10 + 6n = 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. 10 + 6n + -8n = 16 + 8n + -8n Combine like terms: 6n + -8n = -2n 10 + -2n = 16 + 8n + -8n Combine like terms: 8n + -8n = 0 10 + -2n = 16 + 0 10 + -2n = 16 Add '-10' to each side of the equation. 10 + -10 + -2n = 16 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = 16 + -10 -2n = 16 + -10 Combine like terms: 16 + -10 = 6 -2n = 6 Divide each side by '-2'. n = -3 Simplifying n = -3
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