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Simplifying 6a + -4a + 5 = 7a + -23 Reorder the terms: 5 + 6a + -4a = 7a + -23 Combine like terms: 6a + -4a = 2a 5 + 2a = 7a + -23 Reorder the terms: 5 + 2a = -23 + 7a Solving 5 + 2a = -23 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 5 + 2a + -7a = -23 + 7a + -7a Combine like terms: 2a + -7a = -5a 5 + -5a = -23 + 7a + -7a Combine like terms: 7a + -7a = 0 5 + -5a = -23 + 0 5 + -5a = -23 Add '-5' to each side of the equation. 5 + -5 + -5a = -23 + -5 Combine like terms: 5 + -5 = 0 0 + -5a = -23 + -5 -5a = -23 + -5 Combine like terms: -23 + -5 = -28 -5a = -28 Divide each side by '-5'. a = 5.6 Simplifying a = 5.6
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