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Simplifying a + (2a + 3) = 44 + -1(a + 5) Reorder the terms: a + (3 + 2a) = 44 + -1(a + 5) Remove parenthesis around (3 + 2a) a + 3 + 2a = 44 + -1(a + 5) Reorder the terms: 3 + a + 2a = 44 + -1(a + 5) Combine like terms: a + 2a = 3a 3 + 3a = 44 + -1(a + 5) Reorder the terms: 3 + 3a = 44 + -1(5 + a) 3 + 3a = 44 + (5 * -1 + a * -1) 3 + 3a = 44 + (-5 + -1a) Combine like terms: 44 + -5 = 39 3 + 3a = 39 + -1a Solving 3 + 3a = 39 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 3 + 3a + a = 39 + -1a + a Combine like terms: 3a + a = 4a 3 + 4a = 39 + -1a + a Combine like terms: -1a + a = 0 3 + 4a = 39 + 0 3 + 4a = 39 Add '-3' to each side of the equation. 3 + -3 + 4a = 39 + -3 Combine like terms: 3 + -3 = 0 0 + 4a = 39 + -3 4a = 39 + -3 Combine like terms: 39 + -3 = 36 4a = 36 Divide each side by '4'. a = 9 Simplifying a = 9
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