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Simplifying 2(3c + -2u) = 4(1c + 2u) (3c * 2 + -2u * 2) = 4(1c + 2u) (6c + -4u) = 4(1c + 2u) 6c + -4u = (1c * 4 + 2u * 4) 6c + -4u = (4c + 8u) Solving 6c + -4u = 4c + 8u 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. 6c + -4c + -4u = 4c + -4c + 8u Combine like terms: 6c + -4c = 2c 2c + -4u = 4c + -4c + 8u Combine like terms: 4c + -4c = 0 2c + -4u = 0 + 8u 2c + -4u = 8u Add '4u' to each side of the equation. 2c + -4u + 4u = 8u + 4u Combine like terms: -4u + 4u = 0 2c + 0 = 8u + 4u 2c = 8u + 4u Combine like terms: 8u + 4u = 12u 2c = 12u Divide each side by '2'. c = 6u Simplifying c = 6u
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