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Simplifying 17 + -13a = 5a + 1 + -16a Reorder the terms: 17 + -13a = 1 + 5a + -16a Combine like terms: 5a + -16a = -11a 17 + -13a = 1 + -11a Solving 17 + -13a = 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 + -13a + 11a = 1 + -11a + 11a Combine like terms: -13a + 11a = -2a 17 + -2a = 1 + -11a + 11a Combine like terms: -11a + 11a = 0 17 + -2a = 1 + 0 17 + -2a = 1 Add '-17' to each side of the equation. 17 + -17 + -2a = 1 + -17 Combine like terms: 17 + -17 = 0 0 + -2a = 1 + -17 -2a = 1 + -17 Combine like terms: 1 + -17 = -16 -2a = -16 Divide each side by '-2'. a = 8 Simplifying a = 8
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