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Simplifying 5(c + 2) + 4 = 2(22 + 7) + c Reorder the terms: 5(2 + c) + 4 = 2(22 + 7) + c (2 * 5 + c * 5) + 4 = 2(22 + 7) + c (10 + 5c) + 4 = 2(22 + 7) + c Reorder the terms: 10 + 4 + 5c = 2(22 + 7) + c Combine like terms: 10 + 4 = 14 14 + 5c = 2(22 + 7) + c Combine like terms: 22 + 7 = 29 14 + 5c = 2(29) + c Multiply 2 * 29 14 + 5c = 58 + c Solving 14 + 5c = 58 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 14 + 5c + -1c = 58 + c + -1c Combine like terms: 5c + -1c = 4c 14 + 4c = 58 + c + -1c Combine like terms: c + -1c = 0 14 + 4c = 58 + 0 14 + 4c = 58 Add '-14' to each side of the equation. 14 + -14 + 4c = 58 + -14 Combine like terms: 14 + -14 = 0 0 + 4c = 58 + -14 4c = 58 + -14 Combine like terms: 58 + -14 = 44 4c = 44 Divide each side by '4'. c = 11 Simplifying c = 11
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