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Simplifying 4c + 12 = 2(c + -4) Reorder the terms: 12 + 4c = 2(c + -4) Reorder the terms: 12 + 4c = 2(-4 + c) 12 + 4c = (-4 * 2 + c * 2) 12 + 4c = (-8 + 2c) Solving 12 + 4c = -8 + 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. 12 + 4c + -2c = -8 + 2c + -2c Combine like terms: 4c + -2c = 2c 12 + 2c = -8 + 2c + -2c Combine like terms: 2c + -2c = 0 12 + 2c = -8 + 0 12 + 2c = -8 Add '-12' to each side of the equation. 12 + -12 + 2c = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 2c = -8 + -12 2c = -8 + -12 Combine like terms: -8 + -12 = -20 2c = -20 Divide each side by '2'. c = -10 Simplifying c = -10
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