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Simplifying 5(4a + -3b) + -3(6a + -4b) = 0 (4a * 5 + -3b * 5) + -3(6a + -4b) = 0 (20a + -15b) + -3(6a + -4b) = 0 20a + -15b + (6a * -3 + -4b * -3) = 0 20a + -15b + (-18a + 12b) = 0 Reorder the terms: 20a + -18a + -15b + 12b = 0 Combine like terms: 20a + -18a = 2a 2a + -15b + 12b = 0 Combine like terms: -15b + 12b = -3b 2a + -3b = 0 Solving 2a + -3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 2a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 2a + 0 = 0 + 3b 2a = 0 + 3b Remove the zero: 2a = 3b Divide each side by '2'. a = 1.5b Simplifying a = 1.5b
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