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Simplifying 4(4a + -4b) + 3(5a + -3b) = 0 (4a * 4 + -4b * 4) + 3(5a + -3b) = 0 (16a + -16b) + 3(5a + -3b) = 0 16a + -16b + (5a * 3 + -3b * 3) = 0 16a + -16b + (15a + -9b) = 0 Reorder the terms: 16a + 15a + -16b + -9b = 0 Combine like terms: 16a + 15a = 31a 31a + -16b + -9b = 0 Combine like terms: -16b + -9b = -25b 31a + -25b = 0 Solving 31a + -25b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25b' to each side of the equation. 31a + -25b + 25b = 0 + 25b Combine like terms: -25b + 25b = 0 31a + 0 = 0 + 25b 31a = 0 + 25b Remove the zero: 31a = 25b Divide each side by '31'. a = 0.8064516129b Simplifying a = 0.8064516129b
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