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Simplifying 5c + -1 + 6c = 7c + 15 + -4c Reorder the terms: -1 + 5c + 6c = 7c + 15 + -4c Combine like terms: 5c + 6c = 11c -1 + 11c = 7c + 15 + -4c Reorder the terms: -1 + 11c = 15 + 7c + -4c Combine like terms: 7c + -4c = 3c -1 + 11c = 15 + 3c Solving -1 + 11c = 15 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -1 + 11c + -3c = 15 + 3c + -3c Combine like terms: 11c + -3c = 8c -1 + 8c = 15 + 3c + -3c Combine like terms: 3c + -3c = 0 -1 + 8c = 15 + 0 -1 + 8c = 15 Add '1' to each side of the equation. -1 + 1 + 8c = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 8c = 15 + 1 8c = 15 + 1 Combine like terms: 15 + 1 = 16 8c = 16 Divide each side by '8'. c = 2 Simplifying c = 2
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