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Simplifying 7a + 9 + -1a = 3a + 4 Reorder the terms: 9 + 7a + -1a = 3a + 4 Combine like terms: 7a + -1a = 6a 9 + 6a = 3a + 4 Reorder the terms: 9 + 6a = 4 + 3a Solving 9 + 6a = 4 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 9 + 6a + -3a = 4 + 3a + -3a Combine like terms: 6a + -3a = 3a 9 + 3a = 4 + 3a + -3a Combine like terms: 3a + -3a = 0 9 + 3a = 4 + 0 9 + 3a = 4 Add '-9' to each side of the equation. 9 + -9 + 3a = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 3a = 4 + -9 3a = 4 + -9 Combine like terms: 4 + -9 = -5 3a = -5 Divide each side by '3'. a = -1.666666667 Simplifying a = -1.666666667
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