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Simplifying 8(2a + -1b) + -8(7b + -7a) = 0 (2a * 8 + -1b * 8) + -8(7b + -7a) = 0 (16a + -8b) + -8(7b + -7a) = 0 Reorder the terms: 16a + -8b + -8(-7a + 7b) = 0 16a + -8b + (-7a * -8 + 7b * -8) = 0 16a + -8b + (56a + -56b) = 0 Reorder the terms: 16a + 56a + -8b + -56b = 0 Combine like terms: 16a + 56a = 72a 72a + -8b + -56b = 0 Combine like terms: -8b + -56b = -64b 72a + -64b = 0 Solving 72a + -64b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '64b' to each side of the equation. 72a + -64b + 64b = 0 + 64b Combine like terms: -64b + 64b = 0 72a + 0 = 0 + 64b 72a = 0 + 64b Remove the zero: 72a = 64b Divide each side by '72'. a = 0.8888888889b Simplifying a = 0.8888888889b
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