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Simplifying 0.6a + -0.2a + -3 = 17 + 0.08a Reorder the terms: -3 + 0.6a + -0.2a = 17 + 0.08a Combine like terms: 0.6a + -0.2a = 0.4a -3 + 0.4a = 17 + 0.08a Solving -3 + 0.4a = 17 + 0.08a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.08a' to each side of the equation. -3 + 0.4a + -0.08a = 17 + 0.08a + -0.08a Combine like terms: 0.4a + -0.08a = 0.32a -3 + 0.32a = 17 + 0.08a + -0.08a Combine like terms: 0.08a + -0.08a = 0.00 -3 + 0.32a = 17 + 0.00 -3 + 0.32a = 17 Add '3' to each side of the equation. -3 + 3 + 0.32a = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 0.32a = 17 + 3 0.32a = 17 + 3 Combine like terms: 17 + 3 = 20 0.32a = 20 Divide each side by '0.32'. a = 62.5 Simplifying a = 62.5
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