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Simplifying 8c + 10 = 6c + 200 Reorder the terms: 10 + 8c = 6c + 200 Reorder the terms: 10 + 8c = 200 + 6c Solving 10 + 8c = 200 + 6c 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. 10 + 8c + -6c = 200 + 6c + -6c Combine like terms: 8c + -6c = 2c 10 + 2c = 200 + 6c + -6c Combine like terms: 6c + -6c = 0 10 + 2c = 200 + 0 10 + 2c = 200 Add '-10' to each side of the equation. 10 + -10 + 2c = 200 + -10 Combine like terms: 10 + -10 = 0 0 + 2c = 200 + -10 2c = 200 + -10 Combine like terms: 200 + -10 = 190 2c = 190 Divide each side by '2'. c = 95 Simplifying c = 95
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