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Simplifying 5c + 10 = 4c + 22 Reorder the terms: 10 + 5c = 4c + 22 Reorder the terms: 10 + 5c = 22 + 4c Solving 10 + 5c = 22 + 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 + 5c + -4c = 22 + 4c + -4c Combine like terms: 5c + -4c = 1c 10 + 1c = 22 + 4c + -4c Combine like terms: 4c + -4c = 0 10 + 1c = 22 + 0 10 + 1c = 22 Add '-10' to each side of the equation. 10 + -10 + 1c = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 1c = 22 + -10 1c = 22 + -10 Combine like terms: 22 + -10 = 12 1c = 12 Divide each side by '1'. c = 12 Simplifying c = 12
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