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Simplifying 100 = (0.5)(250) + a Multiply 0.5 * 250 100 = 125 + a Solving 100 = 125 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 100 + -1a = 125 + a + -1a Combine like terms: a + -1a = 0 100 + -1a = 125 + 0 100 + -1a = 125 Add '-100' to each side of the equation. 100 + -100 + -1a = 125 + -100 Combine like terms: 100 + -100 = 0 0 + -1a = 125 + -100 -1a = 125 + -100 Combine like terms: 125 + -100 = 25 -1a = 25 Divide each side by '-1'. a = -25 Simplifying a = -25
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