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Simplifying 4(6n + 6) + -2(4n + 6) = 0 Reorder the terms: 4(6 + 6n) + -2(4n + 6) = 0 (6 * 4 + 6n * 4) + -2(4n + 6) = 0 (24 + 24n) + -2(4n + 6) = 0 Reorder the terms: 24 + 24n + -2(6 + 4n) = 0 24 + 24n + (6 * -2 + 4n * -2) = 0 24 + 24n + (-12 + -8n) = 0 Reorder the terms: 24 + -12 + 24n + -8n = 0 Combine like terms: 24 + -12 = 12 12 + 24n + -8n = 0 Combine like terms: 24n + -8n = 16n 12 + 16n = 0 Solving 12 + 16n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 16n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 16n = 0 + -12 16n = 0 + -12 Combine like terms: 0 + -12 = -12 16n = -12 Divide each side by '16'. n = -0.75 Simplifying n = -0.75
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