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Simplifying 100 = (0.5)(160) + a Multiply 0.5 * 160 100 = 80 + a Solving 100 = 80 + 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 = 80 + a + -1a Combine like terms: a + -1a = 0 100 + -1a = 80 + 0 100 + -1a = 80 Add '-100' to each side of the equation. 100 + -100 + -1a = 80 + -100 Combine like terms: 100 + -100 = 0 0 + -1a = 80 + -100 -1a = 80 + -100 Combine like terms: 80 + -100 = -20 -1a = -20 Divide each side by '-1'. a = 20 Simplifying a = 20
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