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Simplifying 3(3c + 2) = 2(3c + -4) Reorder the terms: 3(2 + 3c) = 2(3c + -4) (2 * 3 + 3c * 3) = 2(3c + -4) (6 + 9c) = 2(3c + -4) Reorder the terms: 6 + 9c = 2(-4 + 3c) 6 + 9c = (-4 * 2 + 3c * 2) 6 + 9c = (-8 + 6c) Solving 6 + 9c = -8 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 6 + 9c + -6c = -8 + 6c + -6c Combine like terms: 9c + -6c = 3c 6 + 3c = -8 + 6c + -6c Combine like terms: 6c + -6c = 0 6 + 3c = -8 + 0 6 + 3c = -8 Add '-6' to each side of the equation. 6 + -6 + 3c = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 3c = -8 + -6 3c = -8 + -6 Combine like terms: -8 + -6 = -14 3c = -14 Divide each side by '3'. c = -4.666666667 Simplifying c = -4.666666667
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