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Simplifying 5(3c + -2d) = 0 (3c * 5 + -2d * 5) = 0 (15c + -10d) = 0 Solving 15c + -10d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10d' to each side of the equation. 15c + -10d + 10d = 0 + 10d Combine like terms: -10d + 10d = 0 15c + 0 = 0 + 10d 15c = 0 + 10d Remove the zero: 15c = 10d Divide each side by '15'. c = 0.6666666667d Simplifying c = 0.6666666667d
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