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Simplifying 17 = 8 + -16 + 5(a + 1) Reorder the terms: 17 = 8 + -16 + 5(1 + a) 17 = 8 + -16 + (1 * 5 + a * 5) 17 = 8 + -16 + (5 + 5a) Combine like terms: 8 + -16 = -8 17 = -8 + 5 + 5a Combine like terms: -8 + 5 = -3 17 = -3 + 5a Solving 17 = -3 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 17 + -5a = -3 + 5a + -5a Combine like terms: 5a + -5a = 0 17 + -5a = -3 + 0 17 + -5a = -3 Add '-17' to each side of the equation. 17 + -17 + -5a = -3 + -17 Combine like terms: 17 + -17 = 0 0 + -5a = -3 + -17 -5a = -3 + -17 Combine like terms: -3 + -17 = -20 -5a = -20 Divide each side by '-5'. a = 4 Simplifying a = 4
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