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Simplifying 4a + 17 = 2a + 21 Reorder the terms: 17 + 4a = 2a + 21 Reorder the terms: 17 + 4a = 21 + 2a Solving 17 + 4a = 21 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 17 + 4a + -2a = 21 + 2a + -2a Combine like terms: 4a + -2a = 2a 17 + 2a = 21 + 2a + -2a Combine like terms: 2a + -2a = 0 17 + 2a = 21 + 0 17 + 2a = 21 Add '-17' to each side of the equation. 17 + -17 + 2a = 21 + -17 Combine like terms: 17 + -17 = 0 0 + 2a = 21 + -17 2a = 21 + -17 Combine like terms: 21 + -17 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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