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Simplifying 2c + -3c + 4c + -8 = 12 + -8 + -2c + -1c + 2c Reorder the terms: -8 + 2c + -3c + 4c = 12 + -8 + -2c + -1c + 2c Combine like terms: 2c + -3c = -1c -8 + -1c + 4c = 12 + -8 + -2c + -1c + 2c Combine like terms: -1c + 4c = 3c -8 + 3c = 12 + -8 + -2c + -1c + 2c Combine like terms: 12 + -8 = 4 -8 + 3c = 4 + -2c + -1c + 2c Combine like terms: -2c + -1c = -3c -8 + 3c = 4 + -3c + 2c Combine like terms: -3c + 2c = -1c -8 + 3c = 4 + -1c Solving -8 + 3c = 4 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. -8 + 3c + c = 4 + -1c + c Combine like terms: 3c + c = 4c -8 + 4c = 4 + -1c + c Combine like terms: -1c + c = 0 -8 + 4c = 4 + 0 -8 + 4c = 4 Add '8' to each side of the equation. -8 + 8 + 4c = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 4c = 4 + 8 4c = 4 + 8 Combine like terms: 4 + 8 = 12 4c = 12 Divide each side by '4'. c = 3 Simplifying c = 3
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