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Simplifying 3a + 6 = -38 + -8a Reorder the terms: 6 + 3a = -38 + -8a Solving 6 + 3a = -38 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 6 + 3a + 8a = -38 + -8a + 8a Combine like terms: 3a + 8a = 11a 6 + 11a = -38 + -8a + 8a Combine like terms: -8a + 8a = 0 6 + 11a = -38 + 0 6 + 11a = -38 Add '-6' to each side of the equation. 6 + -6 + 11a = -38 + -6 Combine like terms: 6 + -6 = 0 0 + 11a = -38 + -6 11a = -38 + -6 Combine like terms: -38 + -6 = -44 11a = -44 Divide each side by '11'. a = -4 Simplifying a = -4
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