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Simplifying a + 97 = -6a + -8 Reorder the terms: 97 + a = -6a + -8 Reorder the terms: 97 + a = -8 + -6a Solving 97 + a = -8 + -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. 97 + a + 6a = -8 + -6a + 6a Combine like terms: a + 6a = 7a 97 + 7a = -8 + -6a + 6a Combine like terms: -6a + 6a = 0 97 + 7a = -8 + 0 97 + 7a = -8 Add '-97' to each side of the equation. 97 + -97 + 7a = -8 + -97 Combine like terms: 97 + -97 = 0 0 + 7a = -8 + -97 7a = -8 + -97 Combine like terms: -8 + -97 = -105 7a = -105 Divide each side by '7'. a = -15 Simplifying a = -15
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