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Simplifying 5a + -7 = 9 + a Reorder the terms: -7 + 5a = 9 + a Solving -7 + 5a = 9 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -7 + 5a + -1a = 9 + a + -1a Combine like terms: 5a + -1a = 4a -7 + 4a = 9 + a + -1a Combine like terms: a + -1a = 0 -7 + 4a = 9 + 0 -7 + 4a = 9 Add '7' to each side of the equation. -7 + 7 + 4a = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 4a = 9 + 7 4a = 9 + 7 Combine like terms: 9 + 7 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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