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Simplifying 7 + 2a + -9b = 23 Solving 7 + 2a + -9b = 23 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2a + -7 + -9b = 23 + -7 Reorder the terms: 7 + -7 + 2a + -9b = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 2a + -9b = 23 + -7 2a + -9b = 23 + -7 Combine like terms: 23 + -7 = 16 2a + -9b = 16 Add '9b' to each side of the equation. 2a + -9b + 9b = 16 + 9b Combine like terms: -9b + 9b = 0 2a + 0 = 16 + 9b 2a = 16 + 9b Divide each side by '2'. a = 8 + 4.5b Simplifying a = 8 + 4.5b
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