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Simplifying 6 + 4n = -6 + 4(3 + 8n) 6 + 4n = -6 + (3 * 4 + 8n * 4) 6 + 4n = -6 + (12 + 32n) Combine like terms: -6 + 12 = 6 6 + 4n = 6 + 32n Add '-6' to each side of the equation. 6 + -6 + 4n = 6 + -6 + 32n Combine like terms: 6 + -6 = 0 0 + 4n = 6 + -6 + 32n 4n = 6 + -6 + 32n Combine like terms: 6 + -6 = 0 4n = 0 + 32n 4n = 32n Solving 4n = 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 4n + -32n = 32n + -32n Combine like terms: 4n + -32n = -28n -28n = 32n + -32n Combine like terms: 32n + -32n = 0 -28n = 0 Divide each side by '-28'. n = 0 Simplifying n = 0
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