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Simplifying 18 + 3a + -1(a + -6) = 34 Reorder the terms: 18 + 3a + -1(-6 + a) = 34 18 + 3a + (-6 * -1 + a * -1) = 34 18 + 3a + (6 + -1a) = 34 Reorder the terms: 18 + 6 + 3a + -1a = 34 Combine like terms: 18 + 6 = 24 24 + 3a + -1a = 34 Combine like terms: 3a + -1a = 2a 24 + 2a = 34 Solving 24 + 2a = 34 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2a = 34 + -24 Combine like terms: 24 + -24 = 0 0 + 2a = 34 + -24 2a = 34 + -24 Combine like terms: 34 + -24 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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