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Simplifying 2(3C + -1) + -6 = 3C + 7 Reorder the terms: 2(-1 + 3C) + -6 = 3C + 7 (-1 * 2 + 3C * 2) + -6 = 3C + 7 (-2 + 6C) + -6 = 3C + 7 Reorder the terms: -2 + -6 + 6C = 3C + 7 Combine like terms: -2 + -6 = -8 -8 + 6C = 3C + 7 Reorder the terms: -8 + 6C = 7 + 3C Solving -8 + 6C = 7 + 3C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-3C' to each side of the equation. -8 + 6C + -3C = 7 + 3C + -3C Combine like terms: 6C + -3C = 3C -8 + 3C = 7 + 3C + -3C Combine like terms: 3C + -3C = 0 -8 + 3C = 7 + 0 -8 + 3C = 7 Add '8' to each side of the equation. -8 + 8 + 3C = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 3C = 7 + 8 3C = 7 + 8 Combine like terms: 7 + 8 = 15 3C = 15 Divide each side by '3'. C = 5 Simplifying C = 5
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