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Simplifying 9a + -1 = 97 + -5a Reorder the terms: -1 + 9a = 97 + -5a Solving -1 + 9a = 97 + -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. -1 + 9a + 5a = 97 + -5a + 5a Combine like terms: 9a + 5a = 14a -1 + 14a = 97 + -5a + 5a Combine like terms: -5a + 5a = 0 -1 + 14a = 97 + 0 -1 + 14a = 97 Add '1' to each side of the equation. -1 + 1 + 14a = 97 + 1 Combine like terms: -1 + 1 = 0 0 + 14a = 97 + 1 14a = 97 + 1 Combine like terms: 97 + 1 = 98 14a = 98 Divide each side by '14'. a = 7 Simplifying a = 7
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