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Simplifying 2c + -8c + -6 = 9 + -2c + -12 Reorder the terms: -6 + 2c + -8c = 9 + -2c + -12 Combine like terms: 2c + -8c = -6c -6 + -6c = 9 + -2c + -12 Reorder the terms: -6 + -6c = 9 + -12 + -2c Combine like terms: 9 + -12 = -3 -6 + -6c = -3 + -2c Solving -6 + -6c = -3 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. -6 + -6c + 2c = -3 + -2c + 2c Combine like terms: -6c + 2c = -4c -6 + -4c = -3 + -2c + 2c Combine like terms: -2c + 2c = 0 -6 + -4c = -3 + 0 -6 + -4c = -3 Add '6' to each side of the equation. -6 + 6 + -4c = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -4c = -3 + 6 -4c = -3 + 6 Combine like terms: -3 + 6 = 3 -4c = 3 Divide each side by '-4'. c = -0.75 Simplifying c = -0.75
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