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Simplifying -3c + (-2c + 3d) + -1(5c + -2d) + -1(-3c + 5d) = 0 Remove parenthesis around (-2c + 3d) -3c + -2c + 3d + -1(5c + -2d) + -1(-3c + 5d) = 0 -3c + -2c + 3d + (5c * -1 + -2d * -1) + -1(-3c + 5d) = 0 -3c + -2c + 3d + (-5c + 2d) + -1(-3c + 5d) = 0 -3c + -2c + 3d + -5c + 2d + (-3c * -1 + 5d * -1) = 0 -3c + -2c + 3d + -5c + 2d + (3c + -5d) = 0 Reorder the terms: -3c + -2c + -5c + 3c + 3d + 2d + -5d = 0 Combine like terms: -3c + -2c = -5c -5c + -5c + 3c + 3d + 2d + -5d = 0 Combine like terms: -5c + -5c = -10c -10c + 3c + 3d + 2d + -5d = 0 Combine like terms: -10c + 3c = -7c -7c + 3d + 2d + -5d = 0 Combine like terms: 3d + 2d = 5d -7c + 5d + -5d = 0 Combine like terms: 5d + -5d = 0 -7c + 0 = 0 -7c = 0 Solving -7c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by '-7'. c = 0 Simplifying c = 0
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