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Simplifying -1c + 7 = 3 + -5c + -1 + -1c Reorder the terms: 7 + -1c = 3 + -5c + -1 + -1c Reorder the terms: 7 + -1c = 3 + -1 + -5c + -1c Combine like terms: 3 + -1 = 2 7 + -1c = 2 + -5c + -1c Combine like terms: -5c + -1c = -6c 7 + -1c = 2 + -6c Solving 7 + -1c = 2 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. 7 + -1c + 6c = 2 + -6c + 6c Combine like terms: -1c + 6c = 5c 7 + 5c = 2 + -6c + 6c Combine like terms: -6c + 6c = 0 7 + 5c = 2 + 0 7 + 5c = 2 Add '-7' to each side of the equation. 7 + -7 + 5c = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 5c = 2 + -7 5c = 2 + -7 Combine like terms: 2 + -7 = -5 5c = -5 Divide each side by '5'. c = -1 Simplifying c = -1
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