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Simplifying 52 = 4(c + 5) Reorder the terms: 52 = 4(5 + c) 52 = (5 * 4 + c * 4) 52 = (20 + 4c) Solving 52 = 20 + 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. 52 + -4c = 20 + 4c + -4c Combine like terms: 4c + -4c = 0 52 + -4c = 20 + 0 52 + -4c = 20 Add '-52' to each side of the equation. 52 + -52 + -4c = 20 + -52 Combine like terms: 52 + -52 = 0 0 + -4c = 20 + -52 -4c = 20 + -52 Combine like terms: 20 + -52 = -32 -4c = -32 Divide each side by '-4'. c = 8 Simplifying c = 8
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