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Simplifying -8a + 3(1 + a) = 38 + -6a -8a + (1 * 3 + a * 3) = 38 + -6a -8a + (3 + 3a) = 38 + -6a Reorder the terms: 3 + -8a + 3a = 38 + -6a Combine like terms: -8a + 3a = -5a 3 + -5a = 38 + -6a Solving 3 + -5a = 38 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 3 + -5a + 6a = 38 + -6a + 6a Combine like terms: -5a + 6a = 1a 3 + 1a = 38 + -6a + 6a Combine like terms: -6a + 6a = 0 3 + 1a = 38 + 0 3 + 1a = 38 Add '-3' to each side of the equation. 3 + -3 + 1a = 38 + -3 Combine like terms: 3 + -3 = 0 0 + 1a = 38 + -3 1a = 38 + -3 Combine like terms: 38 + -3 = 35 1a = 35 Divide each side by '1'. a = 35 Simplifying a = 35
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