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Simplifying a + -5 = 7 + -5a Reorder the terms: -5 + a = 7 + -5a Solving -5 + a = 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. -5 + a + 5a = 7 + -5a + 5a Combine like terms: a + 5a = 6a -5 + 6a = 7 + -5a + 5a Combine like terms: -5a + 5a = 0 -5 + 6a = 7 + 0 -5 + 6a = 7 Add '5' to each side of the equation. -5 + 5 + 6a = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6a = 7 + 5 6a = 7 + 5 Combine like terms: 7 + 5 = 12 6a = 12 Divide each side by '6'. a = 2 Simplifying a = 2
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