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Simplifying 110 = 0.5(20)(a + 5) Reorder the terms: 110 = 0.5 * 20(5 + a) Multiply 0.5 * 20 110 = 10(5 + a) 110 = (5 * 10 + a * 10) 110 = (50 + 10a) Solving 110 = 50 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 110 + -10a = 50 + 10a + -10a Combine like terms: 10a + -10a = 0 110 + -10a = 50 + 0 110 + -10a = 50 Add '-110' to each side of the equation. 110 + -110 + -10a = 50 + -110 Combine like terms: 110 + -110 = 0 0 + -10a = 50 + -110 -10a = 50 + -110 Combine like terms: 50 + -110 = -60 -10a = -60 Divide each side by '-10'. a = 6 Simplifying a = 6
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