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