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Simplifying 0.75a + 16 = 2 + -0.125a Reorder the terms: 16 + 0.75a = 2 + -0.125a Solving 16 + 0.75a = 2 + -0.125a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.125a' to each side of the equation. 16 + 0.75a + 0.125a = 2 + -0.125a + 0.125a Combine like terms: 0.75a + 0.125a = 0.875a 16 + 0.875a = 2 + -0.125a + 0.125a Combine like terms: -0.125a + 0.125a = 0.000 16 + 0.875a = 2 + 0.000 16 + 0.875a = 2 Add '-16' to each side of the equation. 16 + -16 + 0.875a = 2 + -16 Combine like terms: 16 + -16 = 0 0 + 0.875a = 2 + -16 0.875a = 2 + -16 Combine like terms: 2 + -16 = -14 0.875a = -14 Divide each side by '0.875'. a = -16 Simplifying a = -16
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