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Simplifying 4n + 4(n + -2) = 6 + 6n Reorder the terms: 4n + 4(-2 + n) = 6 + 6n 4n + (-2 * 4 + n * 4) = 6 + 6n 4n + (-8 + 4n) = 6 + 6n Reorder the terms: -8 + 4n + 4n = 6 + 6n Combine like terms: 4n + 4n = 8n -8 + 8n = 6 + 6n Solving -8 + 8n = 6 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -8 + 8n + -6n = 6 + 6n + -6n Combine like terms: 8n + -6n = 2n -8 + 2n = 6 + 6n + -6n Combine like terms: 6n + -6n = 0 -8 + 2n = 6 + 0 -8 + 2n = 6 Add '8' to each side of the equation. -8 + 8 + 2n = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2n = 6 + 8 2n = 6 + 8 Combine like terms: 6 + 8 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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