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Simplifying U + -8c + 21 = 2c + 1 Reorder the terms: 21 + U + -8c = 2c + 1 Reorder the terms: 21 + U + -8c = 1 + 2c Solving 21 + U + -8c = 1 + 2c Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + U + -21 + -8c = 1 + -21 + 2c Reorder the terms: 21 + -21 + U + -8c = 1 + -21 + 2c Combine like terms: 21 + -21 = 0 0 + U + -8c = 1 + -21 + 2c U + -8c = 1 + -21 + 2c Combine like terms: 1 + -21 = -20 U + -8c = -20 + 2c Add '8c' to each side of the equation. U + -8c + 8c = -20 + 2c + 8c Combine like terms: -8c + 8c = 0 U + 0 = -20 + 2c + 8c U = -20 + 2c + 8c Combine like terms: 2c + 8c = 10c U = -20 + 10c Simplifying U = -20 + 10c
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