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Simplifying 8(2a + -1b) + -3(7b + -8a) = 0 (2a * 8 + -1b * 8) + -3(7b + -8a) = 0 (16a + -8b) + -3(7b + -8a) = 0 Reorder the terms: 16a + -8b + -3(-8a + 7b) = 0 16a + -8b + (-8a * -3 + 7b * -3) = 0 16a + -8b + (24a + -21b) = 0 Reorder the terms: 16a + 24a + -8b + -21b = 0 Combine like terms: 16a + 24a = 40a 40a + -8b + -21b = 0 Combine like terms: -8b + -21b = -29b 40a + -29b = 0 Solving 40a + -29b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '29b' to each side of the equation. 40a + -29b + 29b = 0 + 29b Combine like terms: -29b + 29b = 0 40a + 0 = 0 + 29b 40a = 0 + 29b Remove the zero: 40a = 29b Divide each side by '40'. a = 0.725b Simplifying a = 0.725b
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