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Simplifying 3.5a + -5.1 + -5.2a = -2.7a + -1.6 Reorder the terms: -5.1 + 3.5a + -5.2a = -2.7a + -1.6 Combine like terms: 3.5a + -5.2a = -1.7a -5.1 + -1.7a = -2.7a + -1.6 Reorder the terms: -5.1 + -1.7a = -1.6 + -2.7a Solving -5.1 + -1.7a = -1.6 + -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. -5.1 + -1.7a + 2.7a = -1.6 + -2.7a + 2.7a Combine like terms: -1.7a + 2.7a = 1a -5.1 + 1a = -1.6 + -2.7a + 2.7a Combine like terms: -2.7a + 2.7a = 0.0 -5.1 + 1a = -1.6 + 0.0 -5.1 + 1a = -1.6 Add '5.1' to each side of the equation. -5.1 + 5.1 + 1a = -1.6 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 1a = -1.6 + 5.1 1a = -1.6 + 5.1 Combine like terms: -1.6 + 5.1 = 3.5 1a = 3.5 Divide each side by '1'. a = 3.5 Simplifying a = 3.5
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