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Simplifying 7a + 4 = 3a + 24 Reorder the terms: 4 + 7a = 3a + 24 Reorder the terms: 4 + 7a = 24 + 3a Solving 4 + 7a = 24 + 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. 4 + 7a + -3a = 24 + 3a + -3a Combine like terms: 7a + -3a = 4a 4 + 4a = 24 + 3a + -3a Combine like terms: 3a + -3a = 0 4 + 4a = 24 + 0 4 + 4a = 24 Add '-4' to each side of the equation. 4 + -4 + 4a = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 4a = 24 + -4 4a = 24 + -4 Combine like terms: 24 + -4 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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