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Simplifying 15a + -1(-3a + 7b) + -5a = 0 15a + (-3a * -1 + 7b * -1) + -5a = 0 15a + (3a + -7b) + -5a = 0 Reorder the terms: 15a + 3a + -5a + -7b = 0 Combine like terms: 15a + 3a = 18a 18a + -5a + -7b = 0 Combine like terms: 18a + -5a = 13a 13a + -7b = 0 Solving 13a + -7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. 13a + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 13a + 0 = 0 + 7b 13a = 0 + 7b Remove the zero: 13a = 7b Divide each side by '13'. a = 0.5384615385b Simplifying a = 0.5384615385b
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