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Simplifying (7a + 8b)(5d + -8w) = 0 Multiply (7a + 8b) * (5d + -8w) (7a * (5d + -8w) + 8b * (5d + -8w)) = 0 ((5d * 7a + -8w * 7a) + 8b * (5d + -8w)) = 0 ((35ad + -56aw) + 8b * (5d + -8w)) = 0 (35ad + -56aw + (5d * 8b + -8w * 8b)) = 0 (35ad + -56aw + (40bd + -64bw)) = 0 (35ad + -56aw + 40bd + -64bw) = 0 Solving 35ad + -56aw + 40bd + -64bw = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40bd' to each side of the equation. 35ad + -56aw + 40bd + -40bd + -64bw = 0 + -40bd Combine like terms: 40bd + -40bd = 0 35ad + -56aw + 0 + -64bw = 0 + -40bd 35ad + -56aw + -64bw = 0 + -40bd Remove the zero: 35ad + -56aw + -64bw = -40bd Add '64bw' to each side of the equation. 35ad + -56aw + -64bw + 64bw = -40bd + 64bw Combine like terms: -64bw + 64bw = 0 35ad + -56aw + 0 = -40bd + 64bw 35ad + -56aw = -40bd + 64bw Reorder the terms: 35ad + -56aw + 40bd + -64bw = -40bd + 40bd + 64bw + -64bw Combine like terms: -40bd + 40bd = 0 35ad + -56aw + 40bd + -64bw = 0 + 64bw + -64bw 35ad + -56aw + 40bd + -64bw = 64bw + -64bw Combine like terms: 64bw + -64bw = 0 35ad + -56aw + 40bd + -64bw = 0 The solution to this equation could not be determined.
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