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Simplifying -17 + 9a = 7(4a + -8) Reorder the terms: -17 + 9a = 7(-8 + 4a) -17 + 9a = (-8 * 7 + 4a * 7) -17 + 9a = (-56 + 28a) Solving -17 + 9a = -56 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. -17 + 9a + -28a = -56 + 28a + -28a Combine like terms: 9a + -28a = -19a -17 + -19a = -56 + 28a + -28a Combine like terms: 28a + -28a = 0 -17 + -19a = -56 + 0 -17 + -19a = -56 Add '17' to each side of the equation. -17 + 17 + -19a = -56 + 17 Combine like terms: -17 + 17 = 0 0 + -19a = -56 + 17 -19a = -56 + 17 Combine like terms: -56 + 17 = -39 -19a = -39 Divide each side by '-19'. a = 2.052631579 Simplifying a = 2.052631579
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