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Simplifying 2.25a + 5 = 13.5a + 14 Reorder the terms: 5 + 2.25a = 13.5a + 14 Reorder the terms: 5 + 2.25a = 14 + 13.5a Solving 5 + 2.25a = 14 + 13.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13.5a' to each side of the equation. 5 + 2.25a + -13.5a = 14 + 13.5a + -13.5a Combine like terms: 2.25a + -13.5a = -11.25a 5 + -11.25a = 14 + 13.5a + -13.5a Combine like terms: 13.5a + -13.5a = 0.0 5 + -11.25a = 14 + 0.0 5 + -11.25a = 14 Add '-5' to each side of the equation. 5 + -5 + -11.25a = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -11.25a = 14 + -5 -11.25a = 14 + -5 Combine like terms: 14 + -5 = 9 -11.25a = 9 Divide each side by '-11.25'. a = -0.8 Simplifying a = -0.8
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