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Simplifying 12a + -17 = 2a + 23 Reorder the terms: -17 + 12a = 2a + 23 Reorder the terms: -17 + 12a = 23 + 2a Solving -17 + 12a = 23 + 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 + 12a + -2a = 23 + 2a + -2a Combine like terms: 12a + -2a = 10a -17 + 10a = 23 + 2a + -2a Combine like terms: 2a + -2a = 0 -17 + 10a = 23 + 0 -17 + 10a = 23 Add '17' to each side of the equation. -17 + 17 + 10a = 23 + 17 Combine like terms: -17 + 17 = 0 0 + 10a = 23 + 17 10a = 23 + 17 Combine like terms: 23 + 17 = 40 10a = 40 Divide each side by '10'. a = 4 Simplifying a = 4
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