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Simplifying 2z + (c + 8) + c = 43 Reorder the terms: 2z + (8 + c) + c = 43 Remove parenthesis around (8 + c) 2z + 8 + c + c = 43 Reorder the terms: 8 + c + c + 2z = 43 Combine like terms: c + c = 2c 8 + 2c + 2z = 43 Solving 8 + 2c + 2z = 43 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2c + -8 + 2z = 43 + -8 Reorder the terms: 8 + -8 + 2c + 2z = 43 + -8 Combine like terms: 8 + -8 = 0 0 + 2c + 2z = 43 + -8 2c + 2z = 43 + -8 Combine like terms: 43 + -8 = 35 2c + 2z = 35 Add '-2z' to each side of the equation. 2c + 2z + -2z = 35 + -2z Combine like terms: 2z + -2z = 0 2c + 0 = 35 + -2z 2c = 35 + -2z Divide each side by '2'. c = 17.5 + -1z Simplifying c = 17.5 + -1z
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