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Simplifying 4(2c + -3) + 3(3c + 2) = 0 Reorder the terms: 4(-3 + 2c) + 3(3c + 2) = 0 (-3 * 4 + 2c * 4) + 3(3c + 2) = 0 (-12 + 8c) + 3(3c + 2) = 0 Reorder the terms: -12 + 8c + 3(2 + 3c) = 0 -12 + 8c + (2 * 3 + 3c * 3) = 0 -12 + 8c + (6 + 9c) = 0 Reorder the terms: -12 + 6 + 8c + 9c = 0 Combine like terms: -12 + 6 = -6 -6 + 8c + 9c = 0 Combine like terms: 8c + 9c = 17c -6 + 17c = 0 Solving -6 + 17c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 17c = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 17c = 0 + 6 17c = 0 + 6 Combine like terms: 0 + 6 = 6 17c = 6 Divide each side by '17'. c = 0.3529411765 Simplifying c = 0.3529411765
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