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Simplifying 4a + -7 = 23 + -1a Reorder the terms: -7 + 4a = 23 + -1a Solving -7 + 4a = 23 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -7 + 4a + a = 23 + -1a + a Combine like terms: 4a + a = 5a -7 + 5a = 23 + -1a + a Combine like terms: -1a + a = 0 -7 + 5a = 23 + 0 -7 + 5a = 23 Add '7' to each side of the equation. -7 + 7 + 5a = 23 + 7 Combine like terms: -7 + 7 = 0 0 + 5a = 23 + 7 5a = 23 + 7 Combine like terms: 23 + 7 = 30 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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