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Simplifying 4(n + 6) = 8 + -4(n + -2) Reorder the terms: 4(6 + n) = 8 + -4(n + -2) (6 * 4 + n * 4) = 8 + -4(n + -2) (24 + 4n) = 8 + -4(n + -2) Reorder the terms: 24 + 4n = 8 + -4(-2 + n) 24 + 4n = 8 + (-2 * -4 + n * -4) 24 + 4n = 8 + (8 + -4n) Combine like terms: 8 + 8 = 16 24 + 4n = 16 + -4n Solving 24 + 4n = 16 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 24 + 4n + 4n = 16 + -4n + 4n Combine like terms: 4n + 4n = 8n 24 + 8n = 16 + -4n + 4n Combine like terms: -4n + 4n = 0 24 + 8n = 16 + 0 24 + 8n = 16 Add '-24' to each side of the equation. 24 + -24 + 8n = 16 + -24 Combine like terms: 24 + -24 = 0 0 + 8n = 16 + -24 8n = 16 + -24 Combine like terms: 16 + -24 = -8 8n = -8 Divide each side by '8'. n = -1 Simplifying n = -1
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