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Simplifying 4a + 7 = 2a + 24 Reorder the terms: 7 + 4a = 2a + 24 Reorder the terms: 7 + 4a = 24 + 2a Solving 7 + 4a = 24 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 7 + 4a + -2a = 24 + 2a + -2a Combine like terms: 4a + -2a = 2a 7 + 2a = 24 + 2a + -2a Combine like terms: 2a + -2a = 0 7 + 2a = 24 + 0 7 + 2a = 24 Add '-7' to each side of the equation. 7 + -7 + 2a = 24 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = 24 + -7 2a = 24 + -7 Combine like terms: 24 + -7 = 17 2a = 17 Divide each side by '2'. a = 8.5 Simplifying a = 8.5
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