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Simplifying 0 = 3(-2C + -5D) + 2D + -5(D + -3C) 0 = (-2C * 3 + -5D * 3) + 2D + -5(D + -3C) 0 = (-6C + -15D) + 2D + -5(D + -3C) Reorder the terms: 0 = -6C + -15D + 2D + -5(-3C + D) 0 = -6C + -15D + 2D + (-3C * -5 + D * -5) 0 = -6C + -15D + 2D + (15C + -5D) Reorder the terms: 0 = -6C + 15C + -15D + 2D + -5D Combine like terms: -6C + 15C = 9C 0 = 9C + -15D + 2D + -5D Combine like terms: -15D + 2D = -13D 0 = 9C + -13D + -5D Combine like terms: -13D + -5D = -18D 0 = 9C + -18D Solving 0 = 9C + -18D 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. 0 + -9C = 9C + -9C + -18D Remove the zero: -9C = 9C + -9C + -18D Combine like terms: 9C + -9C = 0 -9C = 0 + -18D -9C = -18D Divide each side by '-9'. C = 2D Simplifying C = 2D
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