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Simplifying 1 + 1.6a = -0.1a + -4.27 Reorder the terms: 1 + 1.6a = -4.27 + -0.1a Solving 1 + 1.6a = -4.27 + -0.1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.1a' to each side of the equation. 1 + 1.6a + 0.1a = -4.27 + -0.1a + 0.1a Combine like terms: 1.6a + 0.1a = 1.7a 1 + 1.7a = -4.27 + -0.1a + 0.1a Combine like terms: -0.1a + 0.1a = 0.0 1 + 1.7a = -4.27 + 0.0 1 + 1.7a = -4.27 Add '-1' to each side of the equation. 1 + -1 + 1.7a = -4.27 + -1 Combine like terms: 1 + -1 = 0 0 + 1.7a = -4.27 + -1 1.7a = -4.27 + -1 Combine like terms: -4.27 + -1 = -5.27 1.7a = -5.27 Divide each side by '1.7'. a = -3.1 Simplifying a = -3.1
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