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Simplifying 8c + 3 = 10 + -4c Reorder the terms: 3 + 8c = 10 + -4c Solving 3 + 8c = 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. 3 + 8c + 4c = 10 + -4c + 4c Combine like terms: 8c + 4c = 12c 3 + 12c = 10 + -4c + 4c Combine like terms: -4c + 4c = 0 3 + 12c = 10 + 0 3 + 12c = 10 Add '-3' to each side of the equation. 3 + -3 + 12c = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 12c = 10 + -3 12c = 10 + -3 Combine like terms: 10 + -3 = 7 12c = 7 Divide each side by '12'. c = 0.5833333333 Simplifying c = 0.5833333333
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