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Simplifying 3(4 + 3c) = 4(c + -2) (4 * 3 + 3c * 3) = 4(c + -2) (12 + 9c) = 4(c + -2) Reorder the terms: 12 + 9c = 4(-2 + c) 12 + 9c = (-2 * 4 + c * 4) 12 + 9c = (-8 + 4c) Solving 12 + 9c = -8 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 12 + 9c + -4c = -8 + 4c + -4c Combine like terms: 9c + -4c = 5c 12 + 5c = -8 + 4c + -4c Combine like terms: 4c + -4c = 0 12 + 5c = -8 + 0 12 + 5c = -8 Add '-12' to each side of the equation. 12 + -12 + 5c = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 5c = -8 + -12 5c = -8 + -12 Combine like terms: -8 + -12 = -20 5c = -20 Divide each side by '5'. c = -4 Simplifying c = -4
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