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Simplifying 4(C + -2) = 2(C + 7) + -4 Reorder the terms: 4(-2 + C) = 2(C + 7) + -4 (-2 * 4 + C * 4) = 2(C + 7) + -4 (-8 + 4C) = 2(C + 7) + -4 Reorder the terms: -8 + 4C = 2(7 + C) + -4 -8 + 4C = (7 * 2 + C * 2) + -4 -8 + 4C = (14 + 2C) + -4 Reorder the terms: -8 + 4C = 14 + -4 + 2C Combine like terms: 14 + -4 = 10 -8 + 4C = 10 + 2C Solving -8 + 4C = 10 + 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 + 4C + -2C = 10 + 2C + -2C Combine like terms: 4C + -2C = 2C -8 + 2C = 10 + 2C + -2C Combine like terms: 2C + -2C = 0 -8 + 2C = 10 + 0 -8 + 2C = 10 Add '8' to each side of the equation. -8 + 8 + 2C = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 2C = 10 + 8 2C = 10 + 8 Combine like terms: 10 + 8 = 18 2C = 18 Divide each side by '2'. C = 9 Simplifying C = 9
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