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Simplifying (2a + 3) + -1(5a + -9) = 5 Reorder the terms: (3 + 2a) + -1(5a + -9) = 5 Remove parenthesis around (3 + 2a) 3 + 2a + -1(5a + -9) = 5 Reorder the terms: 3 + 2a + -1(-9 + 5a) = 5 3 + 2a + (-9 * -1 + 5a * -1) = 5 3 + 2a + (9 + -5a) = 5 Reorder the terms: 3 + 9 + 2a + -5a = 5 Combine like terms: 3 + 9 = 12 12 + 2a + -5a = 5 Combine like terms: 2a + -5a = -3a 12 + -3a = 5 Solving 12 + -3a = 5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -3a = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -3a = 5 + -12 -3a = 5 + -12 Combine like terms: 5 + -12 = -7 -3a = -7 Divide each side by '-3'. a = 2.333333333 Simplifying a = 2.333333333
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