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Simplifying -5(a + -6) + 8a = 38 + 2a Reorder the terms: -5(-6 + a) + 8a = 38 + 2a (-6 * -5 + a * -5) + 8a = 38 + 2a (30 + -5a) + 8a = 38 + 2a Combine like terms: -5a + 8a = 3a 30 + 3a = 38 + 2a Solving 30 + 3a = 38 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 30 + 3a + -2a = 38 + 2a + -2a Combine like terms: 3a + -2a = 1a 30 + 1a = 38 + 2a + -2a Combine like terms: 2a + -2a = 0 30 + 1a = 38 + 0 30 + 1a = 38 Add '-30' to each side of the equation. 30 + -30 + 1a = 38 + -30 Combine like terms: 30 + -30 = 0 0 + 1a = 38 + -30 1a = 38 + -30 Combine like terms: 38 + -30 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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