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Simplifying 4(14c + -10d) + -6(d + 4c) = 0 (14c * 4 + -10d * 4) + -6(d + 4c) = 0 (56c + -40d) + -6(d + 4c) = 0 Reorder the terms: 56c + -40d + -6(4c + d) = 0 56c + -40d + (4c * -6 + d * -6) = 0 56c + -40d + (-24c + -6d) = 0 Reorder the terms: 56c + -24c + -40d + -6d = 0 Combine like terms: 56c + -24c = 32c 32c + -40d + -6d = 0 Combine like terms: -40d + -6d = -46d 32c + -46d = 0 Solving 32c + -46d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '46d' to each side of the equation. 32c + -46d + 46d = 0 + 46d Combine like terms: -46d + 46d = 0 32c + 0 = 0 + 46d 32c = 0 + 46d Remove the zero: 32c = 46d Divide each side by '32'. c = 1.4375d Simplifying c = 1.4375d
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