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Simplifying 9 + -5a = -8a + -6 + -6 Reorder the terms: 9 + -5a = -6 + -6 + -8a Combine like terms: -6 + -6 = -12 9 + -5a = -12 + -8a Solving 9 + -5a = -12 + -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. 9 + -5a + 8a = -12 + -8a + 8a Combine like terms: -5a + 8a = 3a 9 + 3a = -12 + -8a + 8a Combine like terms: -8a + 8a = 0 9 + 3a = -12 + 0 9 + 3a = -12 Add '-9' to each side of the equation. 9 + -9 + 3a = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 3a = -12 + -9 3a = -12 + -9 Combine like terms: -12 + -9 = -21 3a = -21 Divide each side by '3'. a = -7 Simplifying a = -7
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