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Simplifying 8c + 52 = 7c + 53 Reorder the terms: 52 + 8c = 7c + 53 Reorder the terms: 52 + 8c = 53 + 7c Solving 52 + 8c = 53 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 52 + 8c + -7c = 53 + 7c + -7c Combine like terms: 8c + -7c = 1c 52 + 1c = 53 + 7c + -7c Combine like terms: 7c + -7c = 0 52 + 1c = 53 + 0 52 + 1c = 53 Add '-52' to each side of the equation. 52 + -52 + 1c = 53 + -52 Combine like terms: 52 + -52 = 0 0 + 1c = 53 + -52 1c = 53 + -52 Combine like terms: 53 + -52 = 1 1c = 1 Divide each side by '1'. c = 1 Simplifying c = 1
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