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