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Simplifying 10c + -5 + 6c = 8c + 20 + 7c Reorder the terms: -5 + 10c + 6c = 8c + 20 + 7c Combine like terms: 10c + 6c = 16c -5 + 16c = 8c + 20 + 7c Reorder the terms: -5 + 16c = 20 + 8c + 7c Combine like terms: 8c + 7c = 15c -5 + 16c = 20 + 15c Solving -5 + 16c = 20 + 15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. -5 + 16c + -15c = 20 + 15c + -15c Combine like terms: 16c + -15c = 1c -5 + 1c = 20 + 15c + -15c Combine like terms: 15c + -15c = 0 -5 + 1c = 20 + 0 -5 + 1c = 20 Add '5' to each side of the equation. -5 + 5 + 1c = 20 + 5 Combine like terms: -5 + 5 = 0 0 + 1c = 20 + 5 1c = 20 + 5 Combine like terms: 20 + 5 = 25 1c = 25 Divide each side by '1'. c = 25 Simplifying c = 25
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