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Simplifying 4a + 5b = 9a + -15 Reorder the terms: 4a + 5b = -15 + 9a Solving 4a + 5b = -15 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 4a + -9a + 5b = -15 + 9a + -9a Combine like terms: 4a + -9a = -5a -5a + 5b = -15 + 9a + -9a Combine like terms: 9a + -9a = 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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