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Simplifying 2(3 + -4n) + 2n = 54 (3 * 2 + -4n * 2) + 2n = 54 (6 + -8n) + 2n = 54 Combine like terms: -8n + 2n = -6n 6 + -6n = 54 Solving 6 + -6n = 54 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -6n = 54 + -6 Combine like terms: 6 + -6 = 0 0 + -6n = 54 + -6 -6n = 54 + -6 Combine like terms: 54 + -6 = 48 -6n = 48 Divide each side by '-6'. n = -8 Simplifying n = -8
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