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Simplifying a + 17 = -5a + 5 Reorder the terms: 17 + a = -5a + 5 Reorder the terms: 17 + a = 5 + -5a Solving 17 + a = 5 + -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 + a + 5a = 5 + -5a + 5a Combine like terms: a + 5a = 6a 17 + 6a = 5 + -5a + 5a Combine like terms: -5a + 5a = 0 17 + 6a = 5 + 0 17 + 6a = 5 Add '-17' to each side of the equation. 17 + -17 + 6a = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 6a = 5 + -17 6a = 5 + -17 Combine like terms: 5 + -17 = -12 6a = -12 Divide each side by '6'. a = -2 Simplifying a = -2
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