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Simplifying 5a + 54 = 5(-4a + 13.89) Reorder the terms: 54 + 5a = 5(-4a + 13.89) Reorder the terms: 54 + 5a = 5(13.89 + -4a) 54 + 5a = (13.89 * 5 + -4a * 5) 54 + 5a = (69.45 + -20a) Solving 54 + 5a = 69.45 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. 54 + 5a + 20a = 69.45 + -20a + 20a Combine like terms: 5a + 20a = 25a 54 + 25a = 69.45 + -20a + 20a Combine like terms: -20a + 20a = 0 54 + 25a = 69.45 + 0 54 + 25a = 69.45 Add '-54' to each side of the equation. 54 + -54 + 25a = 69.45 + -54 Combine like terms: 54 + -54 = 0 0 + 25a = 69.45 + -54 25a = 69.45 + -54 Combine like terms: 69.45 + -54 = 15.45 25a = 15.45 Divide each side by '25'. a = 0.618 Simplifying a = 0.618
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