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Simplifying 3(12c + -4d) + 2(3d + -5c) = 0 (12c * 3 + -4d * 3) + 2(3d + -5c) = 0 (36c + -12d) + 2(3d + -5c) = 0 Reorder the terms: 36c + -12d + 2(-5c + 3d) = 0 36c + -12d + (-5c * 2 + 3d * 2) = 0 36c + -12d + (-10c + 6d) = 0 Reorder the terms: 36c + -10c + -12d + 6d = 0 Combine like terms: 36c + -10c = 26c 26c + -12d + 6d = 0 Combine like terms: -12d + 6d = -6d 26c + -6d = 0 Solving 26c + -6d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6d' to each side of the equation. 26c + -6d + 6d = 0 + 6d Combine like terms: -6d + 6d = 0 26c + 0 = 0 + 6d 26c = 0 + 6d Remove the zero: 26c = 6d Divide each side by '26'. c = 0.2307692308d Simplifying c = 0.2307692308d
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