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Simplifying 8c + 10 = 4c + 50 Reorder the terms: 10 + 8c = 4c + 50 Reorder the terms: 10 + 8c = 50 + 4c Solving 10 + 8c = 50 + 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. 10 + 8c + -4c = 50 + 4c + -4c Combine like terms: 8c + -4c = 4c 10 + 4c = 50 + 4c + -4c Combine like terms: 4c + -4c = 0 10 + 4c = 50 + 0 10 + 4c = 50 Add '-10' to each side of the equation. 10 + -10 + 4c = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 4c = 50 + -10 4c = 50 + -10 Combine like terms: 50 + -10 = 40 4c = 40 Divide each side by '4'. c = 10 Simplifying c = 10
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