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Simplifying (5w + 2d)(3a + -4b) = 0 Reorder the terms: (2d + 5w)(3a + -4b) = 0 Multiply (2d + 5w) * (3a + -4b) (2d * (3a + -4b) + 5w * (3a + -4b)) = 0 ((3a * 2d + -4b * 2d) + 5w * (3a + -4b)) = 0 ((6ad + -8bd) + 5w * (3a + -4b)) = 0 (6ad + -8bd + (3a * 5w + -4b * 5w)) = 0 (6ad + -8bd + (15aw + -20bw)) = 0 Reorder the terms: (6ad + 15aw + -8bd + -20bw) = 0 (6ad + 15aw + -8bd + -20bw) = 0 Solving 6ad + 15aw + -8bd + -20bw = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8bd' to each side of the equation. 6ad + 15aw + -8bd + 8bd + -20bw = 0 + 8bd Combine like terms: -8bd + 8bd = 0 6ad + 15aw + 0 + -20bw = 0 + 8bd 6ad + 15aw + -20bw = 0 + 8bd Remove the zero: 6ad + 15aw + -20bw = 8bd Add '20bw' to each side of the equation. 6ad + 15aw + -20bw + 20bw = 8bd + 20bw Combine like terms: -20bw + 20bw = 0 6ad + 15aw + 0 = 8bd + 20bw 6ad + 15aw = 8bd + 20bw Reorder the terms: 6ad + 15aw + -8bd + -20bw = 8bd + -8bd + 20bw + -20bw Combine like terms: 8bd + -8bd = 0 6ad + 15aw + -8bd + -20bw = 0 + 20bw + -20bw 6ad + 15aw + -8bd + -20bw = 20bw + -20bw Combine like terms: 20bw + -20bw = 0 6ad + 15aw + -8bd + -20bw = 0 The solution to this equation could not be determined.
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