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Simplifying 4c + -3(c + -6) = 2 + 2c Reorder the terms: 4c + -3(-6 + c) = 2 + 2c 4c + (-6 * -3 + c * -3) = 2 + 2c 4c + (18 + -3c) = 2 + 2c Reorder the terms: 18 + 4c + -3c = 2 + 2c Combine like terms: 4c + -3c = 1c 18 + 1c = 2 + 2c Solving 18 + 1c = 2 + 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. 18 + 1c + -2c = 2 + 2c + -2c Combine like terms: 1c + -2c = -1c 18 + -1c = 2 + 2c + -2c Combine like terms: 2c + -2c = 0 18 + -1c = 2 + 0 18 + -1c = 2 Add '-18' to each side of the equation. 18 + -18 + -1c = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -1c = 2 + -18 -1c = 2 + -18 Combine like terms: 2 + -18 = -16 -1c = -16 Divide each side by '-1'. c = 16 Simplifying c = 16
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