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Simplifying 3c + -4c + 1 = 5c + -5 Reorder the terms: 1 + 3c + -4c = 5c + -5 Combine like terms: 3c + -4c = -1c 1 + -1c = 5c + -5 Reorder the terms: 1 + -1c = -5 + 5c Solving 1 + -1c = -5 + 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 = -5 + 5c + -5c Combine like terms: -1c + -5c = -6c 1 + -6c = -5 + 5c + -5c Combine like terms: 5c + -5c = 0 1 + -6c = -5 + 0 1 + -6c = -5 Add '-1' to each side of the equation. 1 + -1 + -6c = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -6c = -5 + -1 -6c = -5 + -1 Combine like terms: -5 + -1 = -6 -6c = -6 Divide each side by '-6'. c = 1 Simplifying c = 1
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