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Simplifying 2(a + 2) + a = 19 + -1(2a + 3) Reorder the terms: 2(2 + a) + a = 19 + -1(2a + 3) (2 * 2 + a * 2) + a = 19 + -1(2a + 3) (4 + 2a) + a = 19 + -1(2a + 3) Combine like terms: 2a + a = 3a 4 + 3a = 19 + -1(2a + 3) Reorder the terms: 4 + 3a = 19 + -1(3 + 2a) 4 + 3a = 19 + (3 * -1 + 2a * -1) 4 + 3a = 19 + (-3 + -2a) Combine like terms: 19 + -3 = 16 4 + 3a = 16 + -2a Solving 4 + 3a = 16 + -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. 4 + 3a + 2a = 16 + -2a + 2a Combine like terms: 3a + 2a = 5a 4 + 5a = 16 + -2a + 2a Combine like terms: -2a + 2a = 0 4 + 5a = 16 + 0 4 + 5a = 16 Add '-4' to each side of the equation. 4 + -4 + 5a = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 5a = 16 + -4 5a = 16 + -4 Combine like terms: 16 + -4 = 12 5a = 12 Divide each side by '5'. a = 2.4 Simplifying a = 2.4
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