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Simplifying 2 + 0.5(a + -1) = 14 Reorder the terms: 2 + 0.5(-1 + a) = 14 2 + (-1 * 0.5 + a * 0.5) = 14 2 + (-0.5 + 0.5a) = 14 Combine like terms: 2 + -0.5 = 1.5 1.5 + 0.5a = 14 Solving 1.5 + 0.5a = 14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.5a = 14 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.5a = 14 + -1.5 0.5a = 14 + -1.5 Combine like terms: 14 + -1.5 = 12.5 0.5a = 12.5 Divide each side by '0.5'. a = 25 Simplifying a = 25
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