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Simplifying 5c + (-15) = 2c + 6 5c + -15 = 2c + 6 Reorder the terms: -15 + 5c = 2c + 6 Reorder the terms: -15 + 5c = 6 + 2c Solving -15 + 5c = 6 + 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. -15 + 5c + -2c = 6 + 2c + -2c Combine like terms: 5c + -2c = 3c -15 + 3c = 6 + 2c + -2c Combine like terms: 2c + -2c = 0 -15 + 3c = 6 + 0 -15 + 3c = 6 Add '15' to each side of the equation. -15 + 15 + 3c = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 3c = 6 + 15 3c = 6 + 15 Combine like terms: 6 + 15 = 21 3c = 21 Divide each side by '3'. c = 7 Simplifying c = 7
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