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Simplifying 2(3c + -6d) + -5c + 8 = 0 (3c * 2 + -6d * 2) + -5c + 8 = 0 (6c + -12d) + -5c + 8 = 0 Reorder the terms: 8 + 6c + -5c + -12d = 0 Combine like terms: 6c + -5c = 1c 8 + 1c + -12d = 0 Solving 8 + 1c + -12d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 1c + -8 + -12d = 0 + -8 Reorder the terms: 8 + -8 + 1c + -12d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1c + -12d = 0 + -8 1c + -12d = 0 + -8 Combine like terms: 0 + -8 = -8 1c + -12d = -8 Add '12d' to each side of the equation. 1c + -12d + 12d = -8 + 12d Combine like terms: -12d + 12d = 0 1c + 0 = -8 + 12d 1c = -8 + 12d Divide each side by '1'. c = -8 + 12d Simplifying c = -8 + 12d
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