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Simplifying 23 + -2a = 3a + -12 Reorder the terms: 23 + -2a = -12 + 3a Solving 23 + -2a = -12 + 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. 23 + -2a + -3a = -12 + 3a + -3a Combine like terms: -2a + -3a = -5a 23 + -5a = -12 + 3a + -3a Combine like terms: 3a + -3a = 0 23 + -5a = -12 + 0 23 + -5a = -12 Add '-23' to each side of the equation. 23 + -23 + -5a = -12 + -23 Combine like terms: 23 + -23 = 0 0 + -5a = -12 + -23 -5a = -12 + -23 Combine like terms: -12 + -23 = -35 -5a = -35 Divide each side by '-5'. a = 7 Simplifying a = 7
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