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