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Simplifying 5c + -10 = 3c + 6 Reorder the terms: -10 + 5c = 3c + 6 Reorder the terms: -10 + 5c = 6 + 3c Solving -10 + 5c = 6 + 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 + 5c + -3c = 6 + 3c + -3c Combine like terms: 5c + -3c = 2c -10 + 2c = 6 + 3c + -3c Combine like terms: 3c + -3c = 0 -10 + 2c = 6 + 0 -10 + 2c = 6 Add '10' to each side of the equation. -10 + 10 + 2c = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2c = 6 + 10 2c = 6 + 10 Combine like terms: 6 + 10 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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