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Simplifying 2c + 39 + -9(6c + -5d) = 0 2c + 39 + (6c * -9 + -5d * -9) = 0 2c + 39 + (-54c + 45d) = 0 Reorder the terms: 39 + 2c + -54c + 45d = 0 Combine like terms: 2c + -54c = -52c 39 + -52c + 45d = 0 Solving 39 + -52c + 45d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -52c + -39 + 45d = 0 + -39 Reorder the terms: 39 + -39 + -52c + 45d = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -52c + 45d = 0 + -39 -52c + 45d = 0 + -39 Combine like terms: 0 + -39 = -39 -52c + 45d = -39 Add '-45d' to each side of the equation. -52c + 45d + -45d = -39 + -45d Combine like terms: 45d + -45d = 0 -52c + 0 = -39 + -45d -52c = -39 + -45d Divide each side by '-52'. c = 0.75 + 0.8653846154d Simplifying c = 0.75 + 0.8653846154d
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