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Simplifying -0.3a + -0.5a + 8 = 0.08a + 12 Reorder the terms: 8 + -0.3a + -0.5a = 0.08a + 12 Combine like terms: -0.3a + -0.5a = -0.8a 8 + -0.8a = 0.08a + 12 Reorder the terms: 8 + -0.8a = 12 + 0.08a Solving 8 + -0.8a = 12 + 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. 8 + -0.8a + -0.08a = 12 + 0.08a + -0.08a Combine like terms: -0.8a + -0.08a = -0.88a 8 + -0.88a = 12 + 0.08a + -0.08a Combine like terms: 0.08a + -0.08a = 0.00 8 + -0.88a = 12 + 0.00 8 + -0.88a = 12 Add '-8' to each side of the equation. 8 + -8 + -0.88a = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -0.88a = 12 + -8 -0.88a = 12 + -8 Combine like terms: 12 + -8 = 4 -0.88a = 4 Divide each side by '-0.88'. a = -4.545454545 Simplifying a = -4.545454545
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