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Simplifying (4a + 5) + -1(2 + 3a) = 8 Reorder the terms: (5 + 4a) + -1(2 + 3a) = 8 Remove parenthesis around (5 + 4a) 5 + 4a + -1(2 + 3a) = 8 5 + 4a + (2 * -1 + 3a * -1) = 8 5 + 4a + (-2 + -3a) = 8 Reorder the terms: 5 + -2 + 4a + -3a = 8 Combine like terms: 5 + -2 = 3 3 + 4a + -3a = 8 Combine like terms: 4a + -3a = 1a 3 + 1a = 8 Solving 3 + 1a = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1a = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 1a = 8 + -3 1a = 8 + -3 Combine like terms: 8 + -3 = 5 1a = 5 Divide each side by '1'. a = 5 Simplifying a = 5
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