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Simplifying 3c + -5 = 10 + 2c Reorder the terms: -5 + 3c = 10 + 2c Solving -5 + 3c = 10 + 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. -5 + 3c + -2c = 10 + 2c + -2c Combine like terms: 3c + -2c = 1c -5 + 1c = 10 + 2c + -2c Combine like terms: 2c + -2c = 0 -5 + 1c = 10 + 0 -5 + 1c = 10 Add '5' to each side of the equation. -5 + 5 + 1c = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 1c = 10 + 5 1c = 10 + 5 Combine like terms: 10 + 5 = 15 1c = 15 Divide each side by '1'. c = 15 Simplifying c = 15
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