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Simplifying 3(5c + 4d) + 6 = 0 (5c * 3 + 4d * 3) + 6 = 0 (15c + 12d) + 6 = 0 Reorder the terms: 6 + 15c + 12d = 0 Solving 6 + 15c + 12d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 15c + -6 + 12d = 0 + -6 Reorder the terms: 6 + -6 + 15c + 12d = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 15c + 12d = 0 + -6 15c + 12d = 0 + -6 Combine like terms: 0 + -6 = -6 15c + 12d = -6 Add '-12d' to each side of the equation. 15c + 12d + -12d = -6 + -12d Combine like terms: 12d + -12d = 0 15c + 0 = -6 + -12d 15c = -6 + -12d Divide each side by '15'. c = -0.4 + -0.8d Simplifying c = -0.4 + -0.8d
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