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Simplifying 16a + 2a + 5 = 9a + 41 Reorder the terms: 5 + 16a + 2a = 9a + 41 Combine like terms: 16a + 2a = 18a 5 + 18a = 9a + 41 Reorder the terms: 5 + 18a = 41 + 9a Solving 5 + 18a = 41 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 5 + 18a + -9a = 41 + 9a + -9a Combine like terms: 18a + -9a = 9a 5 + 9a = 41 + 9a + -9a Combine like terms: 9a + -9a = 0 5 + 9a = 41 + 0 5 + 9a = 41 Add '-5' to each side of the equation. 5 + -5 + 9a = 41 + -5 Combine like terms: 5 + -5 = 0 0 + 9a = 41 + -5 9a = 41 + -5 Combine like terms: 41 + -5 = 36 9a = 36 Divide each side by '9'. a = 4 Simplifying a = 4
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