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Simplifying 3c + 10 = 2c + 14 Reorder the terms: 10 + 3c = 2c + 14 Reorder the terms: 10 + 3c = 14 + 2c Solving 10 + 3c = 14 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 10 + 3c + -2c = 14 + 2c + -2c Combine like terms: 3c + -2c = 1c 10 + 1c = 14 + 2c + -2c Combine like terms: 2c + -2c = 0 10 + 1c = 14 + 0 10 + 1c = 14 Add '-10' to each side of the equation. 10 + -10 + 1c = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 1c = 14 + -10 1c = 14 + -10 Combine like terms: 14 + -10 = 4 1c = 4 Divide each side by '1'. c = 4 Simplifying c = 4
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