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Simplifying 4a + 4 + 9a + 18 = 12a + 24 Reorder the terms: 4 + 18 + 4a + 9a = 12a + 24 Combine like terms: 4 + 18 = 22 22 + 4a + 9a = 12a + 24 Combine like terms: 4a + 9a = 13a 22 + 13a = 12a + 24 Reorder the terms: 22 + 13a = 24 + 12a Solving 22 + 13a = 24 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 22 + 13a + -12a = 24 + 12a + -12a Combine like terms: 13a + -12a = 1a 22 + 1a = 24 + 12a + -12a Combine like terms: 12a + -12a = 0 22 + 1a = 24 + 0 22 + 1a = 24 Add '-22' to each side of the equation. 22 + -22 + 1a = 24 + -22 Combine like terms: 22 + -22 = 0 0 + 1a = 24 + -22 1a = 24 + -22 Combine like terms: 24 + -22 = 2 1a = 2 Divide each side by '1'. a = 2 Simplifying a = 2
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