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Simplifying -8(2a + -3b) + -5(6b + -4a) = 0 (2a * -8 + -3b * -8) + -5(6b + -4a) = 0 (-16a + 24b) + -5(6b + -4a) = 0 Reorder the terms: -16a + 24b + -5(-4a + 6b) = 0 -16a + 24b + (-4a * -5 + 6b * -5) = 0 -16a + 24b + (20a + -30b) = 0 Reorder the terms: -16a + 20a + 24b + -30b = 0 Combine like terms: -16a + 20a = 4a 4a + 24b + -30b = 0 Combine like terms: 24b + -30b = -6b 4a + -6b = 0 Solving 4a + -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. 4a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 4a + 0 = 0 + 6b 4a = 0 + 6b Remove the zero: 4a = 6b Divide each side by '4'. a = 1.5b Simplifying a = 1.5b
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