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Simplifying 3(d + 2c) = 2d + -5 Reorder the terms: 3(2c + d) = 2d + -5 (2c * 3 + d * 3) = 2d + -5 (6c + 3d) = 2d + -5 Reorder the terms: 6c + 3d = -5 + 2d Solving 6c + 3d = -5 + 2d Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3d' to each side of the equation. 6c + 3d + -3d = -5 + 2d + -3d Combine like terms: 3d + -3d = 0 6c + 0 = -5 + 2d + -3d 6c = -5 + 2d + -3d Combine like terms: 2d + -3d = -1d 6c = -5 + -1d Divide each side by '6'. c = -0.8333333333 + -0.1666666667d Simplifying c = -0.8333333333 + -0.1666666667d
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