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Simplifying 2a + -19.4 = a + 1.6 Reorder the terms: -19.4 + 2a = a + 1.6 Reorder the terms: -19.4 + 2a = 1.6 + a Solving -19.4 + 2a = 1.6 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -19.4 + 2a + -1a = 1.6 + a + -1a Combine like terms: 2a + -1a = 1a -19.4 + 1a = 1.6 + a + -1a Combine like terms: a + -1a = 0 -19.4 + 1a = 1.6 + 0 -19.4 + 1a = 1.6 Add '19.4' to each side of the equation. -19.4 + 19.4 + 1a = 1.6 + 19.4 Combine like terms: -19.4 + 19.4 = 0.0 0.0 + 1a = 1.6 + 19.4 1a = 1.6 + 19.4 Combine like terms: 1.6 + 19.4 = 21 1a = 21 Divide each side by '1'. a = 21 Simplifying a = 21
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