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Simplifying 3(c + d) + -1a(c + d) = 0 (c * 3 + d * 3) + -1a(c + d) = 0 (3c + 3d) + -1a(c + d) = 0 3c + 3d + (c * -1a + d * -1a) = 0 3c + 3d + (-1ac + -1ad) = 0 Reorder the terms: -1ac + -1ad + 3c + 3d = 0 Solving -1ac + -1ad + 3c + 3d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3c' to each side of the equation. -1ac + -1ad + 3c + -3c + 3d = 0 + -3c Combine like terms: 3c + -3c = 0 -1ac + -1ad + 0 + 3d = 0 + -3c -1ac + -1ad + 3d = 0 + -3c Remove the zero: -1ac + -1ad + 3d = -3c Add '-3d' to each side of the equation. -1ac + -1ad + 3d + -3d = -3c + -3d Combine like terms: 3d + -3d = 0 -1ac + -1ad + 0 = -3c + -3d -1ac + -1ad = -3c + -3d Reorder the terms: -1ac + -1ad + 3c + 3d = -3c + 3c + -3d + 3d Combine like terms: -3c + 3c = 0 -1ac + -1ad + 3c + 3d = 0 + -3d + 3d -1ac + -1ad + 3c + 3d = -3d + 3d Combine like terms: -3d + 3d = 0 -1ac + -1ad + 3c + 3d = 0 The solution to this equation could not be determined.
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