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Simplifying 2(3C + -4) + -1 = 4C + 1 Reorder the terms: 2(-4 + 3C) + -1 = 4C + 1 (-4 * 2 + 3C * 2) + -1 = 4C + 1 (-8 + 6C) + -1 = 4C + 1 Reorder the terms: -8 + -1 + 6C = 4C + 1 Combine like terms: -8 + -1 = -9 -9 + 6C = 4C + 1 Reorder the terms: -9 + 6C = 1 + 4C Solving -9 + 6C = 1 + 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. -9 + 6C + -4C = 1 + 4C + -4C Combine like terms: 6C + -4C = 2C -9 + 2C = 1 + 4C + -4C Combine like terms: 4C + -4C = 0 -9 + 2C = 1 + 0 -9 + 2C = 1 Add '9' to each side of the equation. -9 + 9 + 2C = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 2C = 1 + 9 2C = 1 + 9 Combine like terms: 1 + 9 = 10 2C = 10 Divide each side by '2'. C = 5 Simplifying C = 5
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