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Simplifying 3c + 7d + -9(6c + -7d) = 0 3c + 7d + (6c * -9 + -7d * -9) = 0 3c + 7d + (-54c + 63d) = 0 Reorder the terms: 3c + -54c + 7d + 63d = 0 Combine like terms: 3c + -54c = -51c -51c + 7d + 63d = 0 Combine like terms: 7d + 63d = 70d -51c + 70d = 0 Solving -51c + 70d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-70d' to each side of the equation. -51c + 70d + -70d = 0 + -70d Combine like terms: 70d + -70d = 0 -51c + 0 = 0 + -70d -51c = 0 + -70d Remove the zero: -51c = -70d Divide each side by '-51'. c = 1.37254902d Simplifying c = 1.37254902d
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