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Simplifying -92 = 6a + -8(4 + 2a) -92 = 6a + (4 * -8 + 2a * -8) -92 = 6a + (-32 + -16a) Reorder the terms: -92 = -32 + 6a + -16a Combine like terms: 6a + -16a = -10a -92 = -32 + -10a Solving -92 = -32 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. -92 + 10a = -32 + -10a + 10a Combine like terms: -10a + 10a = 0 -92 + 10a = -32 + 0 -92 + 10a = -32 Add '92' to each side of the equation. -92 + 92 + 10a = -32 + 92 Combine like terms: -92 + 92 = 0 0 + 10a = -32 + 92 10a = -32 + 92 Combine like terms: -32 + 92 = 60 10a = 60 Divide each side by '10'. a = 6 Simplifying a = 6
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