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Simplifying 5c + -8 + 2c = 4c + 10 Reorder the terms: -8 + 5c + 2c = 4c + 10 Combine like terms: 5c + 2c = 7c -8 + 7c = 4c + 10 Reorder the terms: -8 + 7c = 10 + 4c Solving -8 + 7c = 10 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -8 + 7c + -4c = 10 + 4c + -4c Combine like terms: 7c + -4c = 3c -8 + 3c = 10 + 4c + -4c Combine like terms: 4c + -4c = 0 -8 + 3c = 10 + 0 -8 + 3c = 10 Add '8' to each side of the equation. -8 + 8 + 3c = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3c = 10 + 8 3c = 10 + 8 Combine like terms: 10 + 8 = 18 3c = 18 Divide each side by '3'. c = 6 Simplifying c = 6
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