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Simplifying 2 + 6c + -5d + 8 + -10c + -4d = 0 Reorder the terms: 2 + 8 + 6c + -10c + -5d + -4d = 0 Combine like terms: 2 + 8 = 10 10 + 6c + -10c + -5d + -4d = 0 Combine like terms: 6c + -10c = -4c 10 + -4c + -5d + -4d = 0 Combine like terms: -5d + -4d = -9d 10 + -4c + -9d = 0 Solving 10 + -4c + -9d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -4c + -10 + -9d = 0 + -10 Reorder the terms: 10 + -10 + -4c + -9d = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4c + -9d = 0 + -10 -4c + -9d = 0 + -10 Combine like terms: 0 + -10 = -10 -4c + -9d = -10 Add '9d' to each side of the equation. -4c + -9d + 9d = -10 + 9d Combine like terms: -9d + 9d = 0 -4c + 0 = -10 + 9d -4c = -10 + 9d Divide each side by '-4'. c = 2.5 + -2.25d Simplifying c = 2.5 + -2.25d
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