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Simplifying 5(4a + 5b) + -3(a + 7b) = 0 (4a * 5 + 5b * 5) + -3(a + 7b) = 0 (20a + 25b) + -3(a + 7b) = 0 20a + 25b + (a * -3 + 7b * -3) = 0 20a + 25b + (-3a + -21b) = 0 Reorder the terms: 20a + -3a + 25b + -21b = 0 Combine like terms: 20a + -3a = 17a 17a + 25b + -21b = 0 Combine like terms: 25b + -21b = 4b 17a + 4b = 0 Solving 17a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 17a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 17a + 0 = 0 + -4b 17a = 0 + -4b Remove the zero: 17a = -4b Divide each side by '17'. a = -0.2352941176b Simplifying a = -0.2352941176b
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