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Simplifying 2(3c + -2) = 4(c + 2) Reorder the terms: 2(-2 + 3c) = 4(c + 2) (-2 * 2 + 3c * 2) = 4(c + 2) (-4 + 6c) = 4(c + 2) Reorder the terms: -4 + 6c = 4(2 + c) -4 + 6c = (2 * 4 + c * 4) -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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