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Simplifying -6a + 38 = 6(1 + -5a) + -8a Reorder the terms: 38 + -6a = 6(1 + -5a) + -8a 38 + -6a = (1 * 6 + -5a * 6) + -8a 38 + -6a = (6 + -30a) + -8a Combine like terms: -30a + -8a = -38a 38 + -6a = 6 + -38a Solving 38 + -6a = 6 + -38a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '38a' to each side of the equation. 38 + -6a + 38a = 6 + -38a + 38a Combine like terms: -6a + 38a = 32a 38 + 32a = 6 + -38a + 38a Combine like terms: -38a + 38a = 0 38 + 32a = 6 + 0 38 + 32a = 6 Add '-38' to each side of the equation. 38 + -38 + 32a = 6 + -38 Combine like terms: 38 + -38 = 0 0 + 32a = 6 + -38 32a = 6 + -38 Combine like terms: 6 + -38 = -32 32a = -32 Divide each side by '32'. a = -1 Simplifying a = -1
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