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Simplifying 6c + -14 + -1c = 9c + -46 Reorder the terms: -14 + 6c + -1c = 9c + -46 Combine like terms: 6c + -1c = 5c -14 + 5c = 9c + -46 Reorder the terms: -14 + 5c = -46 + 9c Solving -14 + 5c = -46 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -14 + 5c + -9c = -46 + 9c + -9c Combine like terms: 5c + -9c = -4c -14 + -4c = -46 + 9c + -9c Combine like terms: 9c + -9c = 0 -14 + -4c = -46 + 0 -14 + -4c = -46 Add '14' to each side of the equation. -14 + 14 + -4c = -46 + 14 Combine like terms: -14 + 14 = 0 0 + -4c = -46 + 14 -4c = -46 + 14 Combine like terms: -46 + 14 = -32 -4c = -32 Divide each side by '-4'. c = 8 Simplifying c = 8
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