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Simplifying 0.4a + 0.6 = -5.7 + -1.7a Reorder the terms: 0.6 + 0.4a = -5.7 + -1.7a Solving 0.6 + 0.4a = -5.7 + -1.7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.7a' to each side of the equation. 0.6 + 0.4a + 1.7a = -5.7 + -1.7a + 1.7a Combine like terms: 0.4a + 1.7a = 2.1a 0.6 + 2.1a = -5.7 + -1.7a + 1.7a Combine like terms: -1.7a + 1.7a = 0.0 0.6 + 2.1a = -5.7 + 0.0 0.6 + 2.1a = -5.7 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 2.1a = -5.7 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 2.1a = -5.7 + -0.6 2.1a = -5.7 + -0.6 Combine like terms: -5.7 + -0.6 = -6.3 2.1a = -6.3 Divide each side by '2.1'. a = -3 Simplifying a = -3
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