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Simplifying 4a + 23 = 5a + -7 Reorder the terms: 23 + 4a = 5a + -7 Reorder the terms: 23 + 4a = -7 + 5a Solving 23 + 4a = -7 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 23 + 4a + -5a = -7 + 5a + -5a Combine like terms: 4a + -5a = -1a 23 + -1a = -7 + 5a + -5a Combine like terms: 5a + -5a = 0 23 + -1a = -7 + 0 23 + -1a = -7 Add '-23' to each side of the equation. 23 + -23 + -1a = -7 + -23 Combine like terms: 23 + -23 = 0 0 + -1a = -7 + -23 -1a = -7 + -23 Combine like terms: -7 + -23 = -30 -1a = -30 Divide each side by '-1'. a = 30 Simplifying a = 30
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