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