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Simplifying 3(a + -5b) + 5(2a + b) = 0 (a * 3 + -5b * 3) + 5(2a + b) = 0 (3a + -15b) + 5(2a + b) = 0 3a + -15b + (2a * 5 + b * 5) = 0 3a + -15b + (10a + 5b) = 0 Reorder the terms: 3a + 10a + -15b + 5b = 0 Combine like terms: 3a + 10a = 13a 13a + -15b + 5b = 0 Combine like terms: -15b + 5b = -10b 13a + -10b = 0 Solving 13a + -10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. 13a + -10b + 10b = 0 + 10b Combine like terms: -10b + 10b = 0 13a + 0 = 0 + 10b 13a = 0 + 10b Remove the zero: 13a = 10b Divide each side by '13'. a = 0.7692307692b Simplifying a = 0.7692307692b
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