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Simplifying 5a + -7 = 5 + -1a Reorder the terms: -7 + 5a = 5 + -1a Solving -7 + 5a = 5 + -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 + 5a + a = 5 + -1a + a Combine like terms: 5a + a = 6a -7 + 6a = 5 + -1a + a Combine like terms: -1a + a = 0 -7 + 6a = 5 + 0 -7 + 6a = 5 Add '7' to each side of the equation. -7 + 7 + 6a = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 6a = 5 + 7 6a = 5 + 7 Combine like terms: 5 + 7 = 12 6a = 12 Divide each side by '6'. a = 2 Simplifying a = 2
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