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Simplifying 10c + 2 = 8c + 3 Reorder the terms: 2 + 10c = 8c + 3 Reorder the terms: 2 + 10c = 3 + 8c Solving 2 + 10c = 3 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 2 + 10c + -8c = 3 + 8c + -8c Combine like terms: 10c + -8c = 2c 2 + 2c = 3 + 8c + -8c Combine like terms: 8c + -8c = 0 2 + 2c = 3 + 0 2 + 2c = 3 Add '-2' to each side of the equation. 2 + -2 + 2c = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 2c = 3 + -2 2c = 3 + -2 Combine like terms: 3 + -2 = 1 2c = 1 Divide each side by '2'. c = 0.5 Simplifying c = 0.5
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