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Simplifying 8(6a + -1b) + -4(5b + -7a) = 0 (6a * 8 + -1b * 8) + -4(5b + -7a) = 0 (48a + -8b) + -4(5b + -7a) = 0 Reorder the terms: 48a + -8b + -4(-7a + 5b) = 0 48a + -8b + (-7a * -4 + 5b * -4) = 0 48a + -8b + (28a + -20b) = 0 Reorder the terms: 48a + 28a + -8b + -20b = 0 Combine like terms: 48a + 28a = 76a 76a + -8b + -20b = 0 Combine like terms: -8b + -20b = -28b 76a + -28b = 0 Solving 76a + -28b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28b' to each side of the equation. 76a + -28b + 28b = 0 + 28b Combine like terms: -28b + 28b = 0 76a + 0 = 0 + 28b 76a = 0 + 28b Remove the zero: 76a = 28b Divide each side by '76'. a = 0.3684210526b Simplifying a = 0.3684210526b
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