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Simplifying 100 = a + (a * 0.5) Reorder the terms for easier multiplication: 100 = a + (0.5a) Combine like terms: a + (0.5a) = 1.5a 100 = 1.5a Solving 100 = 1.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.5a' to each side of the equation. 100 + -1.5a = 1.5a + -1.5a Combine like terms: 1.5a + -1.5a = 0.0 100 + -1.5a = 0.0 Add '-100' to each side of the equation. 100 + -100 + -1.5a = 0.0 + -100 Combine like terms: 100 + -100 = 0 0 + -1.5a = 0.0 + -100 -1.5a = 0.0 + -100 Combine like terms: 0.0 + -100 = -100 -1.5a = -100 Divide each side by '-1.5'. a = 66.66666667 Simplifying a = 66.66666667
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