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Simplifying 3.253a + 2.7 + -2.234a + 3.019 = 2 + -2.7a Reorder the terms: 2.7 + 3.019 + 3.253a + -2.234a = 2 + -2.7a Combine like terms: 2.7 + 3.019 = 5.719 5.719 + 3.253a + -2.234a = 2 + -2.7a Combine like terms: 3.253a + -2.234a = 1.019a 5.719 + 1.019a = 2 + -2.7a Solving 5.719 + 1.019a = 2 + -2.7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2.7a' to each side of the equation. 5.719 + 1.019a + 2.7a = 2 + -2.7a + 2.7a Combine like terms: 1.019a + 2.7a = 3.719a 5.719 + 3.719a = 2 + -2.7a + 2.7a Combine like terms: -2.7a + 2.7a = 0.0 5.719 + 3.719a = 2 + 0.0 5.719 + 3.719a = 2 Add '-5.719' to each side of the equation. 5.719 + -5.719 + 3.719a = 2 + -5.719 Combine like terms: 5.719 + -5.719 = 0.000 0.000 + 3.719a = 2 + -5.719 3.719a = 2 + -5.719 Combine like terms: 2 + -5.719 = -3.719 3.719a = -3.719 Divide each side by '3.719'. a = -1 Simplifying a = -1
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