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Simplifying 7(2n + -8) + -4(12 + -8n) = 0 Reorder the terms: 7(-8 + 2n) + -4(12 + -8n) = 0 (-8 * 7 + 2n * 7) + -4(12 + -8n) = 0 (-56 + 14n) + -4(12 + -8n) = 0 -56 + 14n + (12 * -4 + -8n * -4) = 0 -56 + 14n + (-48 + 32n) = 0 Reorder the terms: -56 + -48 + 14n + 32n = 0 Combine like terms: -56 + -48 = -104 -104 + 14n + 32n = 0 Combine like terms: 14n + 32n = 46n -104 + 46n = 0 Solving -104 + 46n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '104' to each side of the equation. -104 + 104 + 46n = 0 + 104 Combine like terms: -104 + 104 = 0 0 + 46n = 0 + 104 46n = 0 + 104 Combine like terms: 0 + 104 = 104 46n = 104 Divide each side by '46'. n = 2.260869565 Simplifying n = 2.260869565
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