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Simplifying 10 = 2c + 3 + 5c Reorder the terms: 10 = 3 + 2c + 5c Combine like terms: 2c + 5c = 7c 10 = 3 + 7c Solving 10 = 3 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 10 + -7c = 3 + 7c + -7c Combine like terms: 7c + -7c = 0 10 + -7c = 3 + 0 10 + -7c = 3 Add '-10' to each side of the equation. 10 + -10 + -7c = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -7c = 3 + -10 -7c = 3 + -10 Combine like terms: 3 + -10 = -7 -7c = -7 Divide each side by '-7'. c = 1 Simplifying c = 1
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