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Simplifying 2(3c + -1) + -2 = 4c + 8 Reorder the terms: 2(-1 + 3c) + -2 = 4c + 8 (-1 * 2 + 3c * 2) + -2 = 4c + 8 (-2 + 6c) + -2 = 4c + 8 Reorder the terms: -2 + -2 + 6c = 4c + 8 Combine like terms: -2 + -2 = -4 -4 + 6c = 4c + 8 Reorder the terms: -4 + 6c = 8 + 4c Solving -4 + 6c = 8 + 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 = 8 + 4c + -4c Combine like terms: 6c + -4c = 2c -4 + 2c = 8 + 4c + -4c Combine like terms: 4c + -4c = 0 -4 + 2c = 8 + 0 -4 + 2c = 8 Add '4' to each side of the equation. -4 + 4 + 2c = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 2c = 8 + 4 2c = 8 + 4 Combine like terms: 8 + 4 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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