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Simplifying 54 + -4a = 5a + -9 Reorder the terms: 54 + -4a = -9 + 5a Solving 54 + -4a = -9 + 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. 54 + -4a + -5a = -9 + 5a + -5a Combine like terms: -4a + -5a = -9a 54 + -9a = -9 + 5a + -5a Combine like terms: 5a + -5a = 0 54 + -9a = -9 + 0 54 + -9a = -9 Add '-54' to each side of the equation. 54 + -54 + -9a = -9 + -54 Combine like terms: 54 + -54 = 0 0 + -9a = -9 + -54 -9a = -9 + -54 Combine like terms: -9 + -54 = -63 -9a = -63 Divide each side by '-9'. a = 7 Simplifying a = 7
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