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Simplifying 7a + -2 = 9 + -1a Reorder the terms: -2 + 7a = 9 + -1a Solving -2 + 7a = 9 + -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. -2 + 7a + a = 9 + -1a + a Combine like terms: 7a + a = 8a -2 + 8a = 9 + -1a + a Combine like terms: -1a + a = 0 -2 + 8a = 9 + 0 -2 + 8a = 9 Add '2' to each side of the equation. -2 + 2 + 8a = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 8a = 9 + 2 8a = 9 + 2 Combine like terms: 9 + 2 = 11 8a = 11 Divide each side by '8'. a = 1.375 Simplifying a = 1.375
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