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Simplifying 5a + -9 = 54 + -4a Reorder the terms: -9 + 5a = 54 + -4a Solving -9 + 5a = 54 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -9 + 5a + 4a = 54 + -4a + 4a Combine like terms: 5a + 4a = 9a -9 + 9a = 54 + -4a + 4a Combine like terms: -4a + 4a = 0 -9 + 9a = 54 + 0 -9 + 9a = 54 Add '9' to each side of the equation. -9 + 9 + 9a = 54 + 9 Combine like terms: -9 + 9 = 0 0 + 9a = 54 + 9 9a = 54 + 9 Combine like terms: 54 + 9 = 63 9a = 63 Divide each side by '9'. a = 7 Simplifying a = 7
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