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Simplifying 3(5C + -4) + -6 = 9C + 6 Reorder the terms: 3(-4 + 5C) + -6 = 9C + 6 (-4 * 3 + 5C * 3) + -6 = 9C + 6 (-12 + 15C) + -6 = 9C + 6 Reorder the terms: -12 + -6 + 15C = 9C + 6 Combine like terms: -12 + -6 = -18 -18 + 15C = 9C + 6 Reorder the terms: -18 + 15C = 6 + 9C Solving -18 + 15C = 6 + 9C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-9C' to each side of the equation. -18 + 15C + -9C = 6 + 9C + -9C Combine like terms: 15C + -9C = 6C -18 + 6C = 6 + 9C + -9C Combine like terms: 9C + -9C = 0 -18 + 6C = 6 + 0 -18 + 6C = 6 Add '18' to each side of the equation. -18 + 18 + 6C = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 6C = 6 + 18 6C = 6 + 18 Combine like terms: 6 + 18 = 24 6C = 24 Divide each side by '6'. C = 4 Simplifying C = 4
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