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Simplifying 4(n + 6) + 4n = 8 + 8(2n + 6) Reorder the terms: 4(6 + n) + 4n = 8 + 8(2n + 6) (6 * 4 + n * 4) + 4n = 8 + 8(2n + 6) (24 + 4n) + 4n = 8 + 8(2n + 6) Combine like terms: 4n + 4n = 8n 24 + 8n = 8 + 8(2n + 6) Reorder the terms: 24 + 8n = 8 + 8(6 + 2n) 24 + 8n = 8 + (6 * 8 + 2n * 8) 24 + 8n = 8 + (48 + 16n) Combine like terms: 8 + 48 = 56 24 + 8n = 56 + 16n Solving 24 + 8n = 56 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 24 + 8n + -16n = 56 + 16n + -16n Combine like terms: 8n + -16n = -8n 24 + -8n = 56 + 16n + -16n Combine like terms: 16n + -16n = 0 24 + -8n = 56 + 0 24 + -8n = 56 Add '-24' to each side of the equation. 24 + -24 + -8n = 56 + -24 Combine like terms: 24 + -24 = 0 0 + -8n = 56 + -24 -8n = 56 + -24 Combine like terms: 56 + -24 = 32 -8n = 32 Divide each side by '-8'. n = -4 Simplifying n = -4
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