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Simplifying 176 = 0.5(a + 18) * 11 Reorder the terms: 176 = 0.5(18 + a) * 11 Reorder the terms for easier multiplication: 176 = 0.5 * 11(18 + a) Multiply 0.5 * 11 176 = 5.5(18 + a) 176 = (18 * 5.5 + a * 5.5) 176 = (99 + 5.5a) Solving 176 = 99 + 5.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5.5a' to each side of the equation. 176 + -5.5a = 99 + 5.5a + -5.5a Combine like terms: 5.5a + -5.5a = 0.0 176 + -5.5a = 99 + 0.0 176 + -5.5a = 99 Add '-176' to each side of the equation. 176 + -176 + -5.5a = 99 + -176 Combine like terms: 176 + -176 = 0 0 + -5.5a = 99 + -176 -5.5a = 99 + -176 Combine like terms: 99 + -176 = -77 -5.5a = -77 Divide each side by '-5.5'. a = 14 Simplifying a = 14
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