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Simplifying 17 = 9 + 3(a + 8) Reorder the terms: 17 = 9 + 3(8 + a) 17 = 9 + (8 * 3 + a * 3) 17 = 9 + (24 + 3a) Combine like terms: 9 + 24 = 33 17 = 33 + 3a Solving 17 = 33 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 17 + -3a = 33 + 3a + -3a Combine like terms: 3a + -3a = 0 17 + -3a = 33 + 0 17 + -3a = 33 Add '-17' to each side of the equation. 17 + -17 + -3a = 33 + -17 Combine like terms: 17 + -17 = 0 0 + -3a = 33 + -17 -3a = 33 + -17 Combine like terms: 33 + -17 = 16 -3a = 16 Divide each side by '-3'. a = -5.333333333 Simplifying a = -5.333333333
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