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