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Simplifying 4a + 43 = 8a + -9 Reorder the terms: 43 + 4a = 8a + -9 Reorder the terms: 43 + 4a = -9 + 8a Solving 43 + 4a = -9 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 43 + 4a + -8a = -9 + 8a + -8a Combine like terms: 4a + -8a = -4a 43 + -4a = -9 + 8a + -8a Combine like terms: 8a + -8a = 0 43 + -4a = -9 + 0 43 + -4a = -9 Add '-43' to each side of the equation. 43 + -43 + -4a = -9 + -43 Combine like terms: 43 + -43 = 0 0 + -4a = -9 + -43 -4a = -9 + -43 Combine like terms: -9 + -43 = -52 -4a = -52 Divide each side by '-4'. a = 13 Simplifying a = 13
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