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Simplifying 2a + 17 = 3a + 7 Reorder the terms: 17 + 2a = 3a + 7 Reorder the terms: 17 + 2a = 7 + 3a Solving 17 + 2a = 7 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 17 + 2a + -3a = 7 + 3a + -3a Combine like terms: 2a + -3a = -1a 17 + -1a = 7 + 3a + -3a Combine like terms: 3a + -3a = 0 17 + -1a = 7 + 0 17 + -1a = 7 Add '-17' to each side of the equation. 17 + -17 + -1a = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -1a = 7 + -17 -1a = 7 + -17 Combine like terms: 7 + -17 = -10 -1a = -10 Divide each side by '-1'. a = 10 Simplifying a = 10
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