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Simplifying 3c + -2(c + -8) = 2 + 2c Reorder the terms: 3c + -2(-8 + c) = 2 + 2c 3c + (-8 * -2 + c * -2) = 2 + 2c 3c + (16 + -2c) = 2 + 2c Reorder the terms: 16 + 3c + -2c = 2 + 2c Combine like terms: 3c + -2c = 1c 16 + 1c = 2 + 2c Solving 16 + 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. 16 + 1c + -2c = 2 + 2c + -2c Combine like terms: 1c + -2c = -1c 16 + -1c = 2 + 2c + -2c Combine like terms: 2c + -2c = 0 16 + -1c = 2 + 0 16 + -1c = 2 Add '-16' to each side of the equation. 16 + -16 + -1c = 2 + -16 Combine like terms: 16 + -16 = 0 0 + -1c = 2 + -16 -1c = 2 + -16 Combine like terms: 2 + -16 = -14 -1c = -14 Divide each side by '-1'. c = 14 Simplifying c = 14
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