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Simplifying 0.024a + -8 = 0.224a + 2 Reorder the terms: -8 + 0.024a = 0.224a + 2 Reorder the terms: -8 + 0.024a = 2 + 0.224a Solving -8 + 0.024a = 2 + 0.224a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.224a' to each side of the equation. -8 + 0.024a + -0.224a = 2 + 0.224a + -0.224a Combine like terms: 0.024a + -0.224a = -0.2a -8 + -0.2a = 2 + 0.224a + -0.224a Combine like terms: 0.224a + -0.224a = 0.000 -8 + -0.2a = 2 + 0.000 -8 + -0.2a = 2 Add '8' to each side of the equation. -8 + 8 + -0.2a = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -0.2a = 2 + 8 -0.2a = 2 + 8 Combine like terms: 2 + 8 = 10 -0.2a = 10 Divide each side by '-0.2'. a = -50 Simplifying a = -50
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