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Simplifying 3a + (2a + -5) = 20 + -1(a + 2) Reorder the terms: 3a + (-5 + 2a) = 20 + -1(a + 2) Remove parenthesis around (-5 + 2a) 3a + -5 + 2a = 20 + -1(a + 2) Reorder the terms: -5 + 3a + 2a = 20 + -1(a + 2) Combine like terms: 3a + 2a = 5a -5 + 5a = 20 + -1(a + 2) Reorder the terms: -5 + 5a = 20 + -1(2 + a) -5 + 5a = 20 + (2 * -1 + a * -1) -5 + 5a = 20 + (-2 + -1a) Combine like terms: 20 + -2 = 18 -5 + 5a = 18 + -1a Solving -5 + 5a = 18 + -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. -5 + 5a + a = 18 + -1a + a Combine like terms: 5a + a = 6a -5 + 6a = 18 + -1a + a Combine like terms: -1a + a = 0 -5 + 6a = 18 + 0 -5 + 6a = 18 Add '5' to each side of the equation. -5 + 5 + 6a = 18 + 5 Combine like terms: -5 + 5 = 0 0 + 6a = 18 + 5 6a = 18 + 5 Combine like terms: 18 + 5 = 23 6a = 23 Divide each side by '6'. a = 3.833333333 Simplifying a = 3.833333333
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