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Simplifying 4c + -2(c + -8) = 4 + 3c Reorder the terms: 4c + -2(-8 + c) = 4 + 3c 4c + (-8 * -2 + c * -2) = 4 + 3c 4c + (16 + -2c) = 4 + 3c Reorder the terms: 16 + 4c + -2c = 4 + 3c Combine like terms: 4c + -2c = 2c 16 + 2c = 4 + 3c Solving 16 + 2c = 4 + 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. 16 + 2c + -3c = 4 + 3c + -3c Combine like terms: 2c + -3c = -1c 16 + -1c = 4 + 3c + -3c Combine like terms: 3c + -3c = 0 16 + -1c = 4 + 0 16 + -1c = 4 Add '-16' to each side of the equation. 16 + -16 + -1c = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -1c = 4 + -16 -1c = 4 + -16 Combine like terms: 4 + -16 = -12 -1c = -12 Divide each side by '-1'. c = 12 Simplifying c = 12
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