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Simplifying -1c + 3c + 6d + -8d + -2 + 5 = 0 Reorder the terms: -2 + 5 + -1c + 3c + 6d + -8d = 0 Combine like terms: -2 + 5 = 3 3 + -1c + 3c + 6d + -8d = 0 Combine like terms: -1c + 3c = 2c 3 + 2c + 6d + -8d = 0 Combine like terms: 6d + -8d = -2d 3 + 2c + -2d = 0 Solving 3 + 2c + -2d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2c + -3 + -2d = 0 + -3 Reorder the terms: 3 + -3 + 2c + -2d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2c + -2d = 0 + -3 2c + -2d = 0 + -3 Combine like terms: 0 + -3 = -3 2c + -2d = -3 Add '2d' to each side of the equation. 2c + -2d + 2d = -3 + 2d Combine like terms: -2d + 2d = 0 2c + 0 = -3 + 2d 2c = -3 + 2d Divide each side by '2'. c = -1.5 + d Simplifying c = -1.5 + d
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