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Simplifying 3(2c + -3) + -4 = 4c + 9 Reorder the terms: 3(-3 + 2c) + -4 = 4c + 9 (-3 * 3 + 2c * 3) + -4 = 4c + 9 (-9 + 6c) + -4 = 4c + 9 Reorder the terms: -9 + -4 + 6c = 4c + 9 Combine like terms: -9 + -4 = -13 -13 + 6c = 4c + 9 Reorder the terms: -13 + 6c = 9 + 4c Solving -13 + 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. -13 + 6c + -4c = 9 + 4c + -4c Combine like terms: 6c + -4c = 2c -13 + 2c = 9 + 4c + -4c Combine like terms: 4c + -4c = 0 -13 + 2c = 9 + 0 -13 + 2c = 9 Add '13' to each side of the equation. -13 + 13 + 2c = 9 + 13 Combine like terms: -13 + 13 = 0 0 + 2c = 9 + 13 2c = 9 + 13 Combine like terms: 9 + 13 = 22 2c = 22 Divide each side by '2'. c = 11 Simplifying c = 11
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