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Simplifying 3(a + 4) = 0.5a + -8 Reorder the terms: 3(4 + a) = 0.5a + -8 (4 * 3 + a * 3) = 0.5a + -8 (12 + 3a) = 0.5a + -8 Reorder the terms: 12 + 3a = -8 + 0.5a Solving 12 + 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. 12 + 3a + -0.5a = -8 + 0.5a + -0.5a Combine like terms: 3a + -0.5a = 2.5a 12 + 2.5a = -8 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 12 + 2.5a = -8 + 0.0 12 + 2.5a = -8 Add '-12' to each side of the equation. 12 + -12 + 2.5a = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 2.5a = -8 + -12 2.5a = -8 + -12 Combine like terms: -8 + -12 = -20 2.5a = -20 Divide each side by '2.5'. a = -8 Simplifying a = -8
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