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Simplifying -92 = 7(a + -8) + 6 Reorder the terms: -92 = 7(-8 + a) + 6 -92 = (-8 * 7 + a * 7) + 6 -92 = (-56 + 7a) + 6 Reorder the terms: -92 = -56 + 6 + 7a Combine like terms: -56 + 6 = -50 -92 = -50 + 7a Solving -92 = -50 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -92 + -7a = -50 + 7a + -7a Combine like terms: 7a + -7a = 0 -92 + -7a = -50 + 0 -92 + -7a = -50 Add '92' to each side of the equation. -92 + 92 + -7a = -50 + 92 Combine like terms: -92 + 92 = 0 0 + -7a = -50 + 92 -7a = -50 + 92 Combine like terms: -50 + 92 = 42 -7a = 42 Divide each side by '-7'. a = -6 Simplifying a = -6
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