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Simplifying 3(1c + 3u) = 2(2c + 2u) (1c * 3 + 3u * 3) = 2(2c + 2u) (3c + 9u) = 2(2c + 2u) 3c + 9u = (2c * 2 + 2u * 2) 3c + 9u = (4c + 4u) Solving 3c + 9u = 4c + 4u Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 3c + -4c + 9u = 4c + -4c + 4u Combine like terms: 3c + -4c = -1c -1c + 9u = 4c + -4c + 4u Combine like terms: 4c + -4c = 0 -1c + 9u = 0 + 4u -1c + 9u = 4u Add '-9u' to each side of the equation. -1c + 9u + -9u = 4u + -9u Combine like terms: 9u + -9u = 0 -1c + 0 = 4u + -9u -1c = 4u + -9u Combine like terms: 4u + -9u = -5u -1c = -5u Divide each side by '-1'. c = 5u Simplifying c = 5u
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