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Simplifying 3c + -2(c + -6) = 4 + 2c Reorder the terms: 3c + -2(-6 + c) = 4 + 2c 3c + (-6 * -2 + c * -2) = 4 + 2c 3c + (12 + -2c) = 4 + 2c Reorder the terms: 12 + 3c + -2c = 4 + 2c Combine like terms: 3c + -2c = 1c 12 + 1c = 4 + 2c Solving 12 + 1c = 4 + 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. 12 + 1c + -2c = 4 + 2c + -2c Combine like terms: 1c + -2c = -1c 12 + -1c = 4 + 2c + -2c Combine like terms: 2c + -2c = 0 12 + -1c = 4 + 0 12 + -1c = 4 Add '-12' to each side of the equation. 12 + -12 + -1c = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -1c = 4 + -12 -1c = 4 + -12 Combine like terms: 4 + -12 = -8 -1c = -8 Divide each side by '-1'. c = 8 Simplifying c = 8
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