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Simplifying 6(6a + -1b) + -8(5a + -5a) = 0 (6a * 6 + -1b * 6) + -8(5a + -5a) = 0 (36a + -6b) + -8(5a + -5a) = 0 Combine like terms: 5a + -5a = 0 36a + -6b + -8(0) = 0 Multiply -8 * 0 36a + -6b + 0 = 0 Anything times zero is zero. 36a + -6b + 0 = 0 Reorder the terms: 0 + 36a + -6b = 0 Remove the zero: 36a + -6b = 0 Solving 36a + -6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. 36a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 36a + 0 = 0 + 6b 36a = 0 + 6b Remove the zero: 36a = 6b Divide each side by '36'. a = 0.1666666667b Simplifying a = 0.1666666667b
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