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Simplifying 4c + 2d + -7(8c + -8d) = 0 4c + 2d + (8c * -7 + -8d * -7) = 0 4c + 2d + (-56c + 56d) = 0 Reorder the terms: 4c + -56c + 2d + 56d = 0 Combine like terms: 4c + -56c = -52c -52c + 2d + 56d = 0 Combine like terms: 2d + 56d = 58d -52c + 58d = 0 Solving -52c + 58d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-58d' to each side of the equation. -52c + 58d + -58d = 0 + -58d Combine like terms: 58d + -58d = 0 -52c + 0 = 0 + -58d -52c = 0 + -58d Remove the zero: -52c = -58d Divide each side by '-52'. c = 1.115384615d Simplifying c = 1.115384615d
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