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Simplifying 3c + 4d + -7(5c + -5d) = 0 3c + 4d + (5c * -7 + -5d * -7) = 0 3c + 4d + (-35c + 35d) = 0 Reorder the terms: 3c + -35c + 4d + 35d = 0 Combine like terms: 3c + -35c = -32c -32c + 4d + 35d = 0 Combine like terms: 4d + 35d = 39d -32c + 39d = 0 Solving -32c + 39d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-39d' to each side of the equation. -32c + 39d + -39d = 0 + -39d Combine like terms: 39d + -39d = 0 -32c + 0 = 0 + -39d -32c = 0 + -39d Remove the zero: -32c = -39d Divide each side by '-32'. c = 1.21875d Simplifying c = 1.21875d
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