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Simplifying a + 100 = 0.8a Reorder the terms: 100 + a = 0.8a Solving 100 + a = 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. 100 + a + -0.8a = 0.8a + -0.8a Combine like terms: a + -0.8a = 0.2a 100 + 0.2a = 0.8a + -0.8a Combine like terms: 0.8a + -0.8a = 0.0 100 + 0.2a = 0.0 Add '-100' to each side of the equation. 100 + -100 + 0.2a = 0.0 + -100 Combine like terms: 100 + -100 = 0 0 + 0.2a = 0.0 + -100 0.2a = 0.0 + -100 Combine like terms: 0.0 + -100 = -100 0.2a = -100 Divide each side by '0.2'. a = -500 Simplifying a = -500
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