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Simplifying 3(2c + -3) + -3 = 4c + 6 Reorder the terms: 3(-3 + 2c) + -3 = 4c + 6 (-3 * 3 + 2c * 3) + -3 = 4c + 6 (-9 + 6c) + -3 = 4c + 6 Reorder the terms: -9 + -3 + 6c = 4c + 6 Combine like terms: -9 + -3 = -12 -12 + 6c = 4c + 6 Reorder the terms: -12 + 6c = 6 + 4c Solving -12 + 6c = 6 + 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 + 6c + -4c = 6 + 4c + -4c Combine like terms: 6c + -4c = 2c -12 + 2c = 6 + 4c + -4c Combine like terms: 4c + -4c = 0 -12 + 2c = 6 + 0 -12 + 2c = 6 Add '12' to each side of the equation. -12 + 12 + 2c = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 2c = 6 + 12 2c = 6 + 12 Combine like terms: 6 + 12 = 18 2c = 18 Divide each side by '2'. c = 9 Simplifying c = 9
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