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Simplifying 6c + 14 = 7c + -7 Reorder the terms: 14 + 6c = 7c + -7 Reorder the terms: 14 + 6c = -7 + 7c Solving 14 + 6c = -7 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 14 + 6c + -7c = -7 + 7c + -7c Combine like terms: 6c + -7c = -1c 14 + -1c = -7 + 7c + -7c Combine like terms: 7c + -7c = 0 14 + -1c = -7 + 0 14 + -1c = -7 Add '-14' to each side of the equation. 14 + -14 + -1c = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -1c = -7 + -14 -1c = -7 + -14 Combine like terms: -7 + -14 = -21 -1c = -21 Divide each side by '-1'. c = 21 Simplifying c = 21
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