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Simplifying 10c = 2(2d + 3c) Reorder the terms: 10c = 2(3c + 2d) 10c = (3c * 2 + 2d * 2) 10c = (6c + 4d) Solving 10c = 6c + 4d Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 10c + -6c = 6c + -6c + 4d Combine like terms: 10c + -6c = 4c 4c = 6c + -6c + 4d Combine like terms: 6c + -6c = 0 4c = 0 + 4d 4c = 4d Divide each side by '4'. c = d Simplifying c = d
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