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Simplifying 4(a + 1) + a + 5 = 19 Reorder the terms: 4(1 + a) + a + 5 = 19 (1 * 4 + a * 4) + a + 5 = 19 (4 + 4a) + a + 5 = 19 Reorder the terms: 4 + 5 + 4a + a = 19 Combine like terms: 4 + 5 = 9 9 + 4a + a = 19 Combine like terms: 4a + a = 5a 9 + 5a = 19 Solving 9 + 5a = 19 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5a = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 5a = 19 + -9 5a = 19 + -9 Combine like terms: 19 + -9 = 10 5a = 10 Divide each side by '5'. a = 2 Simplifying a = 2
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