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Simplifying 12 + 16d + -6c + -7d = 0 Reorder the terms: 12 + -6c + 16d + -7d = 0 Combine like terms: 16d + -7d = 9d 12 + -6c + 9d = 0 Solving 12 + -6c + 9d = 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 + -6c + -12 + 9d = 0 + -12 Reorder the terms: 12 + -12 + -6c + 9d = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6c + 9d = 0 + -12 -6c + 9d = 0 + -12 Combine like terms: 0 + -12 = -12 -6c + 9d = -12 Add '-9d' to each side of the equation. -6c + 9d + -9d = -12 + -9d Combine like terms: 9d + -9d = 0 -6c + 0 = -12 + -9d -6c = -12 + -9d Divide each side by '-6'. c = 2 + 1.5d Simplifying c = 2 + 1.5d
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