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Simplifying 4(c + 2) = 2(c + -8) Reorder the terms: 4(2 + c) = 2(c + -8) (2 * 4 + c * 4) = 2(c + -8) (8 + 4c) = 2(c + -8) Reorder the terms: 8 + 4c = 2(-8 + c) 8 + 4c = (-8 * 2 + c * 2) 8 + 4c = (-16 + 2c) Solving 8 + 4c = -16 + 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. 8 + 4c + -2c = -16 + 2c + -2c Combine like terms: 4c + -2c = 2c 8 + 2c = -16 + 2c + -2c Combine like terms: 2c + -2c = 0 8 + 2c = -16 + 0 8 + 2c = -16 Add '-8' to each side of the equation. 8 + -8 + 2c = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 2c = -16 + -8 2c = -16 + -8 Combine like terms: -16 + -8 = -24 2c = -24 Divide each side by '2'. c = -12 Simplifying c = -12
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