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Simplifying (81 + 82) + 38 = 81 + (c + 38) Combine like terms: 81 + 82 = 163 (163) + 38 = 81 + (c + 38) 163 + 38 = 81 + (c + 38) Combine like terms: 163 + 38 = 201 201 = 81 + (c + 38) Reorder the terms: 201 = 81 + (38 + c) Remove parenthesis around (38 + c) 201 = 81 + 38 + c Combine like terms: 81 + 38 = 119 201 = 119 + c Solving 201 = 119 + 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. 201 + -1c = 119 + c + -1c Combine like terms: c + -1c = 0 201 + -1c = 119 + 0 201 + -1c = 119 Add '-201' to each side of the equation. 201 + -201 + -1c = 119 + -201 Combine like terms: 201 + -201 = 0 0 + -1c = 119 + -201 -1c = 119 + -201 Combine like terms: 119 + -201 = -82 -1c = -82 Divide each side by '-1'. c = 82 Simplifying c = 82
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