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Simplifying 17 + -3a = 5a + 1 + -16a Reorder the terms: 17 + -3a = 1 + 5a + -16a Combine like terms: 5a + -16a = -11a 17 + -3a = 1 + -11a Solving 17 + -3a = 1 + -11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11a' to each side of the equation. 17 + -3a + 11a = 1 + -11a + 11a Combine like terms: -3a + 11a = 8a 17 + 8a = 1 + -11a + 11a Combine like terms: -11a + 11a = 0 17 + 8a = 1 + 0 17 + 8a = 1 Add '-17' to each side of the equation. 17 + -17 + 8a = 1 + -17 Combine like terms: 17 + -17 = 0 0 + 8a = 1 + -17 8a = 1 + -17 Combine like terms: 1 + -17 = -16 8a = -16 Divide each side by '8'. a = -2 Simplifying a = -2
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