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Simplifying 3(2c + -3) + -5 = 4c + 6 Reorder the terms: 3(-3 + 2c) + -5 = 4c + 6 (-3 * 3 + 2c * 3) + -5 = 4c + 6 (-9 + 6c) + -5 = 4c + 6 Reorder the terms: -9 + -5 + 6c = 4c + 6 Combine like terms: -9 + -5 = -14 -14 + 6c = 4c + 6 Reorder the terms: -14 + 6c = 6 + 4c Solving -14 + 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. -14 + 6c + -4c = 6 + 4c + -4c Combine like terms: 6c + -4c = 2c -14 + 2c = 6 + 4c + -4c Combine like terms: 4c + -4c = 0 -14 + 2c = 6 + 0 -14 + 2c = 6 Add '14' to each side of the equation. -14 + 14 + 2c = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 2c = 6 + 14 2c = 6 + 14 Combine like terms: 6 + 14 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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