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Simplifying 3c + -4c + 1 = 5c + 22 + 3 Reorder the terms: 1 + 3c + -4c = 5c + 22 + 3 Combine like terms: 3c + -4c = -1c 1 + -1c = 5c + 22 + 3 Reorder the terms: 1 + -1c = 22 + 3 + 5c Combine like terms: 22 + 3 = 25 1 + -1c = 25 + 5c Solving 1 + -1c = 25 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 1 + -1c + -5c = 25 + 5c + -5c Combine like terms: -1c + -5c = -6c 1 + -6c = 25 + 5c + -5c Combine like terms: 5c + -5c = 0 1 + -6c = 25 + 0 1 + -6c = 25 Add '-1' to each side of the equation. 1 + -1 + -6c = 25 + -1 Combine like terms: 1 + -1 = 0 0 + -6c = 25 + -1 -6c = 25 + -1 Combine like terms: 25 + -1 = 24 -6c = 24 Divide each side by '-6'. c = -4 Simplifying c = -4
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