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Simplifying 6(4 + -8a) + 7 = -17 (4 * 6 + -8a * 6) + 7 = -17 (24 + -48a) + 7 = -17 Reorder the terms: 24 + 7 + -48a = -17 Combine like terms: 24 + 7 = 31 31 + -48a = -17 Solving 31 + -48a = -17 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -48a = -17 + -31 Combine like terms: 31 + -31 = 0 0 + -48a = -17 + -31 -48a = -17 + -31 Combine like terms: -17 + -31 = -48 -48a = -48 Divide each side by '-48'. a = 1 Simplifying a = 1
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