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Simplifying 3a + -4a + 9 = -12a + 43 + -6a Reorder the terms: 9 + 3a + -4a = -12a + 43 + -6a Combine like terms: 3a + -4a = -1a 9 + -1a = -12a + 43 + -6a Reorder the terms: 9 + -1a = 43 + -12a + -6a Combine like terms: -12a + -6a = -18a 9 + -1a = 43 + -18a Solving 9 + -1a = 43 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. 9 + -1a + 18a = 43 + -18a + 18a Combine like terms: -1a + 18a = 17a 9 + 17a = 43 + -18a + 18a Combine like terms: -18a + 18a = 0 9 + 17a = 43 + 0 9 + 17a = 43 Add '-9' to each side of the equation. 9 + -9 + 17a = 43 + -9 Combine like terms: 9 + -9 = 0 0 + 17a = 43 + -9 17a = 43 + -9 Combine like terms: 43 + -9 = 34 17a = 34 Divide each side by '17'. a = 2 Simplifying a = 2
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