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Simplifying 8 + 3a + -2(a + 1) = 9 Reorder the terms: 8 + 3a + -2(1 + a) = 9 8 + 3a + (1 * -2 + a * -2) = 9 8 + 3a + (-2 + -2a) = 9 Reorder the terms: 8 + -2 + 3a + -2a = 9 Combine like terms: 8 + -2 = 6 6 + 3a + -2a = 9 Combine like terms: 3a + -2a = 1a 6 + 1a = 9 Solving 6 + 1a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1a = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 1a = 9 + -6 1a = 9 + -6 Combine like terms: 9 + -6 = 3 1a = 3 Divide each side by '1'. a = 3 Simplifying a = 3
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