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Simplifying 3(2c + -3) + -6 = 4c + 9 Reorder the terms: 3(-3 + 2c) + -6 = 4c + 9 (-3 * 3 + 2c * 3) + -6 = 4c + 9 (-9 + 6c) + -6 = 4c + 9 Reorder the terms: -9 + -6 + 6c = 4c + 9 Combine like terms: -9 + -6 = -15 -15 + 6c = 4c + 9 Reorder the terms: -15 + 6c = 9 + 4c Solving -15 + 6c = 9 + 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. -15 + 6c + -4c = 9 + 4c + -4c Combine like terms: 6c + -4c = 2c -15 + 2c = 9 + 4c + -4c Combine like terms: 4c + -4c = 0 -15 + 2c = 9 + 0 -15 + 2c = 9 Add '15' to each side of the equation. -15 + 15 + 2c = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 2c = 9 + 15 2c = 9 + 15 Combine like terms: 9 + 15 = 24 2c = 24 Divide each side by '2'. c = 12 Simplifying c = 12
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