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Simplifying 2.5a + 17.5 = 1.5a + -0.75 Reorder the terms: 17.5 + 2.5a = 1.5a + -0.75 Reorder the terms: 17.5 + 2.5a = -0.75 + 1.5a Solving 17.5 + 2.5a = -0.75 + 1.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.5a' to each side of the equation. 17.5 + 2.5a + -1.5a = -0.75 + 1.5a + -1.5a Combine like terms: 2.5a + -1.5a = 1a 17.5 + 1a = -0.75 + 1.5a + -1.5a Combine like terms: 1.5a + -1.5a = 0.0 17.5 + 1a = -0.75 + 0.0 17.5 + 1a = -0.75 Add '-17.5' to each side of the equation. 17.5 + -17.5 + 1a = -0.75 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + 1a = -0.75 + -17.5 1a = -0.75 + -17.5 Combine like terms: -0.75 + -17.5 = -18.25 1a = -18.25 Divide each side by '1'. a = -18.25 Simplifying a = -18.25
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