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Simplifying 2(3c + -1) + -6 = 2c + 4 Reorder the terms: 2(-1 + 3c) + -6 = 2c + 4 (-1 * 2 + 3c * 2) + -6 = 2c + 4 (-2 + 6c) + -6 = 2c + 4 Reorder the terms: -2 + -6 + 6c = 2c + 4 Combine like terms: -2 + -6 = -8 -8 + 6c = 2c + 4 Reorder the terms: -8 + 6c = 4 + 2c Solving -8 + 6c = 4 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -8 + 6c + -2c = 4 + 2c + -2c Combine like terms: 6c + -2c = 4c -8 + 4c = 4 + 2c + -2c Combine like terms: 2c + -2c = 0 -8 + 4c = 4 + 0 -8 + 4c = 4 Add '8' to each side of the equation. -8 + 8 + 4c = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 4c = 4 + 8 4c = 4 + 8 Combine like terms: 4 + 8 = 12 4c = 12 Divide each side by '4'. c = 3 Simplifying c = 3
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