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Simplifying 2c + -4d + -3(-3 + d) = 0 2c + -4d + (-3 * -3 + d * -3) = 0 2c + -4d + (9 + -3d) = 0 Reorder the terms: 9 + 2c + -4d + -3d = 0 Combine like terms: -4d + -3d = -7d 9 + 2c + -7d = 0 Solving 9 + 2c + -7d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 2c + -9 + -7d = 0 + -9 Reorder the terms: 9 + -9 + 2c + -7d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2c + -7d = 0 + -9 2c + -7d = 0 + -9 Combine like terms: 0 + -9 = -9 2c + -7d = -9 Add '7d' to each side of the equation. 2c + -7d + 7d = -9 + 7d Combine like terms: -7d + 7d = 0 2c + 0 = -9 + 7d 2c = -9 + 7d Divide each side by '2'. c = -4.5 + 3.5d Simplifying c = -4.5 + 3.5d
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