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Simplifying 6c + 7 = 51 + -5c Reorder the terms: 7 + 6c = 51 + -5c Solving 7 + 6c = 51 + -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. 7 + 6c + 5c = 51 + -5c + 5c Combine like terms: 6c + 5c = 11c 7 + 11c = 51 + -5c + 5c Combine like terms: -5c + 5c = 0 7 + 11c = 51 + 0 7 + 11c = 51 Add '-7' to each side of the equation. 7 + -7 + 11c = 51 + -7 Combine like terms: 7 + -7 = 0 0 + 11c = 51 + -7 11c = 51 + -7 Combine like terms: 51 + -7 = 44 11c = 44 Divide each side by '11'. c = 4 Simplifying c = 4
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