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Simplifying 4c + 4d + -7(2c + -7d) = 0 4c + 4d + (2c * -7 + -7d * -7) = 0 4c + 4d + (-14c + 49d) = 0 Reorder the terms: 4c + -14c + 4d + 49d = 0 Combine like terms: 4c + -14c = -10c -10c + 4d + 49d = 0 Combine like terms: 4d + 49d = 53d -10c + 53d = 0 Solving -10c + 53d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-53d' to each side of the equation. -10c + 53d + -53d = 0 + -53d Combine like terms: 53d + -53d = 0 -10c + 0 = 0 + -53d -10c = 0 + -53d Remove the zero: -10c = -53d Divide each side by '-10'. c = 5.3d Simplifying c = 5.3d
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