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Simplifying 4c + -2(c + -6) = 2 + 3c Reorder the terms: 4c + -2(-6 + c) = 2 + 3c 4c + (-6 * -2 + c * -2) = 2 + 3c 4c + (12 + -2c) = 2 + 3c Reorder the terms: 12 + 4c + -2c = 2 + 3c Combine like terms: 4c + -2c = 2c 12 + 2c = 2 + 3c Solving 12 + 2c = 2 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 12 + 2c + -3c = 2 + 3c + -3c Combine like terms: 2c + -3c = -1c 12 + -1c = 2 + 3c + -3c Combine like terms: 3c + -3c = 0 12 + -1c = 2 + 0 12 + -1c = 2 Add '-12' to each side of the equation. 12 + -12 + -1c = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -1c = 2 + -12 -1c = 2 + -12 Combine like terms: 2 + -12 = -10 -1c = -10 Divide each side by '-1'. c = 10 Simplifying c = 10
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