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Simplifying -10 + 8c = 4c + 10 + -1c Reorder the terms: -10 + 8c = 10 + 4c + -1c Combine like terms: 4c + -1c = 3c -10 + 8c = 10 + 3c Solving -10 + 8c = 10 + 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 + 8c + -3c = 10 + 3c + -3c Combine like terms: 8c + -3c = 5c -10 + 5c = 10 + 3c + -3c Combine like terms: 3c + -3c = 0 -10 + 5c = 10 + 0 -10 + 5c = 10 Add '10' to each side of the equation. -10 + 10 + 5c = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 5c = 10 + 10 5c = 10 + 10 Combine like terms: 10 + 10 = 20 5c = 20 Divide each side by '5'. c = 4 Simplifying c = 4
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