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Simplifying -0.5a + 36 + 4a = -9a + -12 Reorder the terms: 36 + -0.5a + 4a = -9a + -12 Combine like terms: -0.5a + 4a = 3.5a 36 + 3.5a = -9a + -12 Reorder the terms: 36 + 3.5a = -12 + -9a Solving 36 + 3.5a = -12 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 36 + 3.5a + 9a = -12 + -9a + 9a Combine like terms: 3.5a + 9a = 12.5a 36 + 12.5a = -12 + -9a + 9a Combine like terms: -9a + 9a = 0 36 + 12.5a = -12 + 0 36 + 12.5a = -12 Add '-36' to each side of the equation. 36 + -36 + 12.5a = -12 + -36 Combine like terms: 36 + -36 = 0 0 + 12.5a = -12 + -36 12.5a = -12 + -36 Combine like terms: -12 + -36 = -48 12.5a = -48 Divide each side by '12.5'. a = -3.84 Simplifying a = -3.84
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