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Simplifying 17 + -3a = 5a + 1 + 16a Reorder the terms: 17 + -3a = 1 + 5a + 16a Combine like terms: 5a + 16a = 21a 17 + -3a = 1 + 21a Solving 17 + -3a = 1 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. 17 + -3a + -21a = 1 + 21a + -21a Combine like terms: -3a + -21a = -24a 17 + -24a = 1 + 21a + -21a Combine like terms: 21a + -21a = 0 17 + -24a = 1 + 0 17 + -24a = 1 Add '-17' to each side of the equation. 17 + -17 + -24a = 1 + -17 Combine like terms: 17 + -17 = 0 0 + -24a = 1 + -17 -24a = 1 + -17 Combine like terms: 1 + -17 = -16 -24a = -16 Divide each side by '-24'. a = 0.6666666667 Simplifying a = 0.6666666667
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