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Simplifying d2 + 8c + 12 = 0 Reorder the terms: 12 + 8c + d2 = 0 Solving 12 + 8c + d2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 8c + -12 + d2 = 0 + -12 Reorder the terms: 12 + -12 + 8c + d2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 8c + d2 = 0 + -12 8c + d2 = 0 + -12 Combine like terms: 0 + -12 = -12 8c + d2 = -12 Add '-1d2' to each side of the equation. 8c + d2 + -1d2 = -12 + -1d2 Combine like terms: d2 + -1d2 = 0 8c + 0 = -12 + -1d2 8c = -12 + -1d2 Divide each side by '8'. c = -1.5 + -0.125d2 Simplifying c = -1.5 + -0.125d2
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