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Simplifying -5a + 54 = 5(-4 + a + 13.89) Reorder the terms: 54 + -5a = 5(-4 + a + 13.89) Reorder the terms: 54 + -5a = 5(-4 + 13.89 + a) Combine like terms: -4 + 13.89 = 9.89 54 + -5a = 5(9.89 + a) 54 + -5a = (9.89 * 5 + a * 5) 54 + -5a = (49.45 + 5a) Solving 54 + -5a = 49.45 + 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 + -5a + -5a = 49.45 + 5a + -5a Combine like terms: -5a + -5a = -10a 54 + -10a = 49.45 + 5a + -5a Combine like terms: 5a + -5a = 0 54 + -10a = 49.45 + 0 54 + -10a = 49.45 Add '-54' to each side of the equation. 54 + -54 + -10a = 49.45 + -54 Combine like terms: 54 + -54 = 0 0 + -10a = 49.45 + -54 -10a = 49.45 + -54 Combine like terms: 49.45 + -54 = -4.55 -10a = -4.55 Divide each side by '-10'. a = 0.455 Simplifying a = 0.455
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