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Simplifying 5a + 54 = 5(-4a + 13.49) Reorder the terms: 54 + 5a = 5(-4a + 13.49) Reorder the terms: 54 + 5a = 5(13.49 + -4a) 54 + 5a = (13.49 * 5 + -4a * 5) 54 + 5a = (67.45 + -20a) Solving 54 + 5a = 67.45 + -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 = 67.45 + -20a + 20a Combine like terms: 5a + 20a = 25a 54 + 25a = 67.45 + -20a + 20a Combine like terms: -20a + 20a = 0 54 + 25a = 67.45 + 0 54 + 25a = 67.45 Add '-54' to each side of the equation. 54 + -54 + 25a = 67.45 + -54 Combine like terms: 54 + -54 = 0 0 + 25a = 67.45 + -54 25a = 67.45 + -54 Combine like terms: 67.45 + -54 = 13.45 25a = 13.45 Divide each side by '25'. a = 0.538 Simplifying a = 0.538
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