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Simplifying (2a + 3) + -1(a + -2) = 8 Reorder the terms: (3 + 2a) + -1(a + -2) = 8 Remove parenthesis around (3 + 2a) 3 + 2a + -1(a + -2) = 8 Reorder the terms: 3 + 2a + -1(-2 + a) = 8 3 + 2a + (-2 * -1 + a * -1) = 8 3 + 2a + (2 + -1a) = 8 Reorder the terms: 3 + 2 + 2a + -1a = 8 Combine like terms: 3 + 2 = 5 5 + 2a + -1a = 8 Combine like terms: 2a + -1a = 1a 5 + 1a = 8 Solving 5 + 1a = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1a = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 1a = 8 + -5 1a = 8 + -5 Combine like terms: 8 + -5 = 3 1a = 3 Divide each side by '1'. a = 3 Simplifying a = 3
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