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Simplifying 4(c + 3) = -3(c + -2) Reorder the terms: 4(3 + c) = -3(c + -2) (3 * 4 + c * 4) = -3(c + -2) (12 + 4c) = -3(c + -2) Reorder the terms: 12 + 4c = -3(-2 + c) 12 + 4c = (-2 * -3 + c * -3) 12 + 4c = (6 + -3c) Solving 12 + 4c = 6 + -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. 12 + 4c + 3c = 6 + -3c + 3c Combine like terms: 4c + 3c = 7c 12 + 7c = 6 + -3c + 3c Combine like terms: -3c + 3c = 0 12 + 7c = 6 + 0 12 + 7c = 6 Add '-12' to each side of the equation. 12 + -12 + 7c = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 7c = 6 + -12 7c = 6 + -12 Combine like terms: 6 + -12 = -6 7c = -6 Divide each side by '7'. c = -0.8571428571 Simplifying c = -0.8571428571
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