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Simplifying a + 24 = 4a + 9 Reorder the terms: 24 + a = 4a + 9 Reorder the terms: 24 + a = 9 + 4a Solving 24 + a = 9 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 24 + a + -4a = 9 + 4a + -4a Combine like terms: a + -4a = -3a 24 + -3a = 9 + 4a + -4a Combine like terms: 4a + -4a = 0 24 + -3a = 9 + 0 24 + -3a = 9 Add '-24' to each side of the equation. 24 + -24 + -3a = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -3a = 9 + -24 -3a = 9 + -24 Combine like terms: 9 + -24 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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