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Simplifying 5c + 19 + -41 = 38 + c Reorder the terms: 19 + -41 + 5c = 38 + c Combine like terms: 19 + -41 = -22 -22 + 5c = 38 + c Solving -22 + 5c = 38 + 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. -22 + 5c + -1c = 38 + c + -1c Combine like terms: 5c + -1c = 4c -22 + 4c = 38 + c + -1c Combine like terms: c + -1c = 0 -22 + 4c = 38 + 0 -22 + 4c = 38 Add '22' to each side of the equation. -22 + 22 + 4c = 38 + 22 Combine like terms: -22 + 22 = 0 0 + 4c = 38 + 22 4c = 38 + 22 Combine like terms: 38 + 22 = 60 4c = 60 Divide each side by '4'. c = 15 Simplifying c = 15
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