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Simplifying 7a + 5(3a + -1b) = 0 7a + (3a * 5 + -1b * 5) = 0 7a + (15a + -5b) = 0 Combine like terms: 7a + 15a = 22a 22a + -5b = 0 Solving 22a + -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. 22a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 22a + 0 = 0 + 5b 22a = 0 + 5b Remove the zero: 22a = 5b Divide each side by '22'. a = 0.2272727273b Simplifying a = 0.2272727273b
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