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Simplifying (5 + -2a) + 3a = 9a + 2(3 + -1a) + 11 Remove parenthesis around (5 + -2a) 5 + -2a + 3a = 9a + 2(3 + -1a) + 11 Combine like terms: -2a + 3a = 1a 5 + 1a = 9a + 2(3 + -1a) + 11 5 + 1a = 9a + (3 * 2 + -1a * 2) + 11 5 + 1a = 9a + (6 + -2a) + 11 Reorder the terms: 5 + 1a = 6 + 11 + 9a + -2a Combine like terms: 6 + 11 = 17 5 + 1a = 17 + 9a + -2a Combine like terms: 9a + -2a = 7a 5 + 1a = 17 + 7a Solving 5 + 1a = 17 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 5 + 1a + -7a = 17 + 7a + -7a Combine like terms: 1a + -7a = -6a 5 + -6a = 17 + 7a + -7a Combine like terms: 7a + -7a = 0 5 + -6a = 17 + 0 5 + -6a = 17 Add '-5' to each side of the equation. 5 + -5 + -6a = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -6a = 17 + -5 -6a = 17 + -5 Combine like terms: 17 + -5 = 12 -6a = 12 Divide each side by '-6'. a = -2 Simplifying a = -2
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