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Simplifying 3(2c + -1) + -6 = 4c + 3 Reorder the terms: 3(-1 + 2c) + -6 = 4c + 3 (-1 * 3 + 2c * 3) + -6 = 4c + 3 (-3 + 6c) + -6 = 4c + 3 Reorder the terms: -3 + -6 + 6c = 4c + 3 Combine like terms: -3 + -6 = -9 -9 + 6c = 4c + 3 Reorder the terms: -9 + 6c = 3 + 4c Solving -9 + 6c = 3 + 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. -9 + 6c + -4c = 3 + 4c + -4c Combine like terms: 6c + -4c = 2c -9 + 2c = 3 + 4c + -4c Combine like terms: 4c + -4c = 0 -9 + 2c = 3 + 0 -9 + 2c = 3 Add '9' to each side of the equation. -9 + 9 + 2c = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 2c = 3 + 9 2c = 3 + 9 Combine like terms: 3 + 9 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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