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Simplifying 10 + 2c = 5 + 3c Solving 10 + 2c = 5 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 10 + 2c + -3c = 5 + 3c + -3c Combine like terms: 2c + -3c = -1c 10 + -1c = 5 + 3c + -3c Combine like terms: 3c + -3c = 0 10 + -1c = 5 + 0 10 + -1c = 5 Add '-10' to each side of the equation. 10 + -10 + -1c = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -1c = 5 + -10 -1c = 5 + -10 Combine like terms: 5 + -10 = -5 -1c = -5 Divide each side by '-1'. c = 5 Simplifying c = 5
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