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Simplifying 3c + 2d + 6c + 7 + 5d + -23 = 0 Reorder the terms: 7 + -23 + 3c + 6c + 2d + 5d = 0 Combine like terms: 7 + -23 = -16 -16 + 3c + 6c + 2d + 5d = 0 Combine like terms: 3c + 6c = 9c -16 + 9c + 2d + 5d = 0 Combine like terms: 2d + 5d = 7d -16 + 9c + 7d = 0 Solving -16 + 9c + 7d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 9c + 16 + 7d = 0 + 16 Reorder the terms: -16 + 16 + 9c + 7d = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 9c + 7d = 0 + 16 9c + 7d = 0 + 16 Combine like terms: 0 + 16 = 16 9c + 7d = 16 Add '-7d' to each side of the equation. 9c + 7d + -7d = 16 + -7d Combine like terms: 7d + -7d = 0 9c + 0 = 16 + -7d 9c = 16 + -7d Divide each side by '9'. c = 1.777777778 + -0.7777777778d Simplifying c = 1.777777778 + -0.7777777778d
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