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Simplifying 15a + 7 = 9a + 43 Reorder the terms: 7 + 15a = 9a + 43 Reorder the terms: 7 + 15a = 43 + 9a Solving 7 + 15a = 43 + 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. 7 + 15a + -9a = 43 + 9a + -9a Combine like terms: 15a + -9a = 6a 7 + 6a = 43 + 9a + -9a Combine like terms: 9a + -9a = 0 7 + 6a = 43 + 0 7 + 6a = 43 Add '-7' to each side of the equation. 7 + -7 + 6a = 43 + -7 Combine like terms: 7 + -7 = 0 0 + 6a = 43 + -7 6a = 43 + -7 Combine like terms: 43 + -7 = 36 6a = 36 Divide each side by '6'. a = 6 Simplifying a = 6
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