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Simplifying 3a + 43 = 9a + 1 Reorder the terms: 43 + 3a = 9a + 1 Reorder the terms: 43 + 3a = 1 + 9a Solving 43 + 3a = 1 + 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. 43 + 3a + -9a = 1 + 9a + -9a Combine like terms: 3a + -9a = -6a 43 + -6a = 1 + 9a + -9a Combine like terms: 9a + -9a = 0 43 + -6a = 1 + 0 43 + -6a = 1 Add '-43' to each side of the equation. 43 + -43 + -6a = 1 + -43 Combine like terms: 43 + -43 = 0 0 + -6a = 1 + -43 -6a = 1 + -43 Combine like terms: 1 + -43 = -42 -6a = -42 Divide each side by '-6'. a = 7 Simplifying a = 7
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