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Simplifying -1(8a + 3b) + 10(2a + -5b) = 0 (8a * -1 + 3b * -1) + 10(2a + -5b) = 0 (-8a + -3b) + 10(2a + -5b) = 0 -8a + -3b + (2a * 10 + -5b * 10) = 0 -8a + -3b + (20a + -50b) = 0 Reorder the terms: -8a + 20a + -3b + -50b = 0 Combine like terms: -8a + 20a = 12a 12a + -3b + -50b = 0 Combine like terms: -3b + -50b = -53b 12a + -53b = 0 Solving 12a + -53b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '53b' to each side of the equation. 12a + -53b + 53b = 0 + 53b Combine like terms: -53b + 53b = 0 12a + 0 = 0 + 53b 12a = 0 + 53b Remove the zero: 12a = 53b Divide each side by '12'. a = 4.416666667b Simplifying a = 4.416666667b
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