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Simplifying 17 + -1a + 6a + -2 = 14a + 11 + -5a Reorder the terms: 17 + -2 + -1a + 6a = 14a + 11 + -5a Combine like terms: 17 + -2 = 15 15 + -1a + 6a = 14a + 11 + -5a Combine like terms: -1a + 6a = 5a 15 + 5a = 14a + 11 + -5a Reorder the terms: 15 + 5a = 11 + 14a + -5a Combine like terms: 14a + -5a = 9a 15 + 5a = 11 + 9a Solving 15 + 5a = 11 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 15 + 5a + -9a = 11 + 9a + -9a Combine like terms: 5a + -9a = -4a 15 + -4a = 11 + 9a + -9a Combine like terms: 9a + -9a = 0 15 + -4a = 11 + 0 15 + -4a = 11 Add '-15' to each side of the equation. 15 + -15 + -4a = 11 + -15 Combine like terms: 15 + -15 = 0 0 + -4a = 11 + -15 -4a = 11 + -15 Combine like terms: 11 + -15 = -4 -4a = -4 Divide each side by '-4'. a = 1 Simplifying a = 1
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