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Simplifying 7(8a + -1b) + -5(2b + -4a) = 0 (8a * 7 + -1b * 7) + -5(2b + -4a) = 0 (56a + -7b) + -5(2b + -4a) = 0 Reorder the terms: 56a + -7b + -5(-4a + 2b) = 0 56a + -7b + (-4a * -5 + 2b * -5) = 0 56a + -7b + (20a + -10b) = 0 Reorder the terms: 56a + 20a + -7b + -10b = 0 Combine like terms: 56a + 20a = 76a 76a + -7b + -10b = 0 Combine like terms: -7b + -10b = -17b 76a + -17b = 0 Solving 76a + -17b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17b' to each side of the equation. 76a + -17b + 17b = 0 + 17b Combine like terms: -17b + 17b = 0 76a + 0 = 0 + 17b 76a = 0 + 17b Remove the zero: 76a = 17b Divide each side by '76'. a = 0.2236842105b Simplifying a = 0.2236842105b
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