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Simplifying 5a + -0.2 = 3.419 + 5.3a + 2.99a Reorder the terms: -0.2 + 5a = 3.419 + 5.3a + 2.99a Combine like terms: 5.3a + 2.99a = 8.29a -0.2 + 5a = 3.419 + 8.29a Solving -0.2 + 5a = 3.419 + 8.29a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8.29a' to each side of the equation. -0.2 + 5a + -8.29a = 3.419 + 8.29a + -8.29a Combine like terms: 5a + -8.29a = -3.29a -0.2 + -3.29a = 3.419 + 8.29a + -8.29a Combine like terms: 8.29a + -8.29a = 0.00 -0.2 + -3.29a = 3.419 + 0.00 -0.2 + -3.29a = 3.419 Add '0.2' to each side of the equation. -0.2 + 0.2 + -3.29a = 3.419 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -3.29a = 3.419 + 0.2 -3.29a = 3.419 + 0.2 Combine like terms: 3.419 + 0.2 = 3.619 -3.29a = 3.619 Divide each side by '-3.29'. a = -1.1 Simplifying a = -1.1
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