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Simplifying 5a + -3(2a + -5b) + 8(a + -3b) + 4b = 0 5a + (2a * -3 + -5b * -3) + 8(a + -3b) + 4b = 0 5a + (-6a + 15b) + 8(a + -3b) + 4b = 0 5a + -6a + 15b + (a * 8 + -3b * 8) + 4b = 0 5a + -6a + 15b + (8a + -24b) + 4b = 0 Reorder the terms: 5a + -6a + 8a + 15b + -24b + 4b = 0 Combine like terms: 5a + -6a = -1a -1a + 8a + 15b + -24b + 4b = 0 Combine like terms: -1a + 8a = 7a 7a + 15b + -24b + 4b = 0 Combine like terms: 15b + -24b = -9b 7a + -9b + 4b = 0 Combine like terms: -9b + 4b = -5b 7a + -5b = 0 Solving 7a + -5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 7a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 7a + 0 = 0 + 5b 7a = 0 + 5b Remove the zero: 7a = 5b Divide each side by '7'. a = 0.7142857143b Simplifying a = 0.7142857143b
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