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Simplifying 21 + -3c + -7 = 6c + -2 + -1c Reorder the terms: 21 + -7 + -3c = 6c + -2 + -1c Combine like terms: 21 + -7 = 14 14 + -3c = 6c + -2 + -1c Reorder the terms: 14 + -3c = -2 + 6c + -1c Combine like terms: 6c + -1c = 5c 14 + -3c = -2 + 5c Solving 14 + -3c = -2 + 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. 14 + -3c + -5c = -2 + 5c + -5c Combine like terms: -3c + -5c = -8c 14 + -8c = -2 + 5c + -5c Combine like terms: 5c + -5c = 0 14 + -8c = -2 + 0 14 + -8c = -2 Add '-14' to each side of the equation. 14 + -14 + -8c = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -8c = -2 + -14 -8c = -2 + -14 Combine like terms: -2 + -14 = -16 -8c = -16 Divide each side by '-8'. c = 2 Simplifying c = 2
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