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Simplifying 0.8(a + 6) + 0.2a = -0.2 Reorder the terms: 0.8(6 + a) + 0.2a = -0.2 (6 * 0.8 + a * 0.8) + 0.2a = -0.2 (4.8 + 0.8a) + 0.2a = -0.2 Combine like terms: 0.8a + 0.2a = 1a 4.8 + 1a = -0.2 Solving 4.8 + 1a = -0.2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4.8' to each side of the equation. 4.8 + -4.8 + 1a = -0.2 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + 1a = -0.2 + -4.8 1a = -0.2 + -4.8 Combine like terms: -0.2 + -4.8 = -5 1a = -5 Divide each side by '1'. a = -5 Simplifying a = -5
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