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Simplifying 3(8a + -1b) + -6(6b + -7a) = 0 (8a * 3 + -1b * 3) + -6(6b + -7a) = 0 (24a + -3b) + -6(6b + -7a) = 0 Reorder the terms: 24a + -3b + -6(-7a + 6b) = 0 24a + -3b + (-7a * -6 + 6b * -6) = 0 24a + -3b + (42a + -36b) = 0 Reorder the terms: 24a + 42a + -3b + -36b = 0 Combine like terms: 24a + 42a = 66a 66a + -3b + -36b = 0 Combine like terms: -3b + -36b = -39b 66a + -39b = 0 Solving 66a + -39b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '39b' to each side of the equation. 66a + -39b + 39b = 0 + 39b Combine like terms: -39b + 39b = 0 66a + 0 = 0 + 39b 66a = 0 + 39b Remove the zero: 66a = 39b Divide each side by '66'. a = 0.5909090909b Simplifying a = 0.5909090909b
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