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Simplifying 32 + -5 = 42 + -1c Combine like terms: 32 + -5 = 27 27 = 42 + -1c Solving 27 = 42 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. 27 + c = 42 + -1c + c Combine like terms: -1c + c = 0 27 + c = 42 + 0 27 + c = 42 Add '-27' to each side of the equation. 27 + -27 + c = 42 + -27 Combine like terms: 27 + -27 = 0 0 + c = 42 + -27 c = 42 + -27 Combine like terms: 42 + -27 = 15 c = 15 Simplifying c = 15
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