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Simplifying 3a + 4 = 0.5a + -8 Reorder the terms: 4 + 3a = 0.5a + -8 Reorder the terms: 4 + 3a = -8 + 0.5a Solving 4 + 3a = -8 + 0.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5a' to each side of the equation. 4 + 3a + -0.5a = -8 + 0.5a + -0.5a Combine like terms: 3a + -0.5a = 2.5a 4 + 2.5a = -8 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 4 + 2.5a = -8 + 0.0 4 + 2.5a = -8 Add '-4' to each side of the equation. 4 + -4 + 2.5a = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 2.5a = -8 + -4 2.5a = -8 + -4 Combine like terms: -8 + -4 = -12 2.5a = -12 Divide each side by '2.5'. a = -4.8 Simplifying a = -4.8
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