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Simplifying -9c + -1(-3d + 3) + (11c + 9) = 0 Reorder the terms: -9c + -1(3 + -3d) + (11c + 9) = 0 -9c + (3 * -1 + -3d * -1) + (11c + 9) = 0 -9c + (-3 + 3d) + (11c + 9) = 0 Reorder the terms: -9c + -3 + 3d + (9 + 11c) = 0 Remove parenthesis around (9 + 11c) -9c + -3 + 3d + 9 + 11c = 0 Reorder the terms: -3 + 9 + -9c + 11c + 3d = 0 Combine like terms: -3 + 9 = 6 6 + -9c + 11c + 3d = 0 Combine like terms: -9c + 11c = 2c 6 + 2c + 3d = 0 Solving 6 + 2c + 3d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2c + -6 + 3d = 0 + -6 Reorder the terms: 6 + -6 + 2c + 3d = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2c + 3d = 0 + -6 2c + 3d = 0 + -6 Combine like terms: 0 + -6 = -6 2c + 3d = -6 Add '-3d' to each side of the equation. 2c + 3d + -3d = -6 + -3d Combine like terms: 3d + -3d = 0 2c + 0 = -6 + -3d 2c = -6 + -3d Divide each side by '2'. c = -3 + -1.5d Simplifying c = -3 + -1.5d
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