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Simplifying 3a + 2 + -7a = 23 + 2a Reorder the terms: 2 + 3a + -7a = 23 + 2a Combine like terms: 3a + -7a = -4a 2 + -4a = 23 + 2a Solving 2 + -4a = 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. 2 + -4a + -2a = 23 + 2a + -2a Combine like terms: -4a + -2a = -6a 2 + -6a = 23 + 2a + -2a Combine like terms: 2a + -2a = 0 2 + -6a = 23 + 0 2 + -6a = 23 Add '-2' to each side of the equation. 2 + -2 + -6a = 23 + -2 Combine like terms: 2 + -2 = 0 0 + -6a = 23 + -2 -6a = 23 + -2 Combine like terms: 23 + -2 = 21 -6a = 21 Divide each side by '-6'. a = -3.5 Simplifying a = -3.5
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