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Simplifying -0.5 + -0.6 = 0.5 + -0.8a + -0.2 Combine like terms: -0.5 + -0.6 = -1.1 -1.1 = 0.5 + -0.8a + -0.2 Reorder the terms: -1.1 = 0.5 + -0.2 + -0.8a Combine like terms: 0.5 + -0.2 = 0.3 -1.1 = 0.3 + -0.8a Solving -1.1 = 0.3 + -0.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.8a' to each side of the equation. -1.1 + 0.8a = 0.3 + -0.8a + 0.8a Combine like terms: -0.8a + 0.8a = 0.0 -1.1 + 0.8a = 0.3 + 0.0 -1.1 + 0.8a = 0.3 Add '1.1' to each side of the equation. -1.1 + 1.1 + 0.8a = 0.3 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + 0.8a = 0.3 + 1.1 0.8a = 0.3 + 1.1 Combine like terms: 0.3 + 1.1 = 1.4 0.8a = 1.4 Divide each side by '0.8'. a = 1.75 Simplifying a = 1.75
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