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Simplifying 3(a + -3b) + 5(2a + b) = 0 (a * 3 + -3b * 3) + 5(2a + b) = 0 (3a + -9b) + 5(2a + b) = 0 3a + -9b + (2a * 5 + b * 5) = 0 3a + -9b + (10a + 5b) = 0 Reorder the terms: 3a + 10a + -9b + 5b = 0 Combine like terms: 3a + 10a = 13a 13a + -9b + 5b = 0 Combine like terms: -9b + 5b = -4b 13a + -4b = 0 Solving 13a + -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. 13a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 13a + 0 = 0 + 4b 13a = 0 + 4b Remove the zero: 13a = 4b Divide each side by '13'. a = 0.3076923077b Simplifying a = 0.3076923077b
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