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Simplifying -17 + 8a = 2(7a + 4) + 5 Reorder the terms: -17 + 8a = 2(4 + 7a) + 5 -17 + 8a = (4 * 2 + 7a * 2) + 5 -17 + 8a = (8 + 14a) + 5 Reorder the terms: -17 + 8a = 8 + 5 + 14a Combine like terms: 8 + 5 = 13 -17 + 8a = 13 + 14a Solving -17 + 8a = 13 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -17 + 8a + -14a = 13 + 14a + -14a Combine like terms: 8a + -14a = -6a -17 + -6a = 13 + 14a + -14a Combine like terms: 14a + -14a = 0 -17 + -6a = 13 + 0 -17 + -6a = 13 Add '17' to each side of the equation. -17 + 17 + -6a = 13 + 17 Combine like terms: -17 + 17 = 0 0 + -6a = 13 + 17 -6a = 13 + 17 Combine like terms: 13 + 17 = 30 -6a = 30 Divide each side by '-6'. a = -5 Simplifying a = -5
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