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Simplifying 3a + 4 = 44 + -5a Reorder the terms: 4 + 3a = 44 + -5a Solving 4 + 3a = 44 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 4 + 3a + 5a = 44 + -5a + 5a Combine like terms: 3a + 5a = 8a 4 + 8a = 44 + -5a + 5a Combine like terms: -5a + 5a = 0 4 + 8a = 44 + 0 4 + 8a = 44 Add '-4' to each side of the equation. 4 + -4 + 8a = 44 + -4 Combine like terms: 4 + -4 = 0 0 + 8a = 44 + -4 8a = 44 + -4 Combine like terms: 44 + -4 = 40 8a = 40 Divide each side by '8'. a = 5 Simplifying a = 5
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