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Simplifying 22 = 0.5(a + 30) Reorder the terms: 22 = 0.5(30 + a) 22 = (30 * 0.5 + a * 0.5) 22 = (15 + 0.5a) Solving 22 = 15 + 0.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5a' to each side of the equation. 22 + -0.5a = 15 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 22 + -0.5a = 15 + 0.0 22 + -0.5a = 15 Add '-22' to each side of the equation. 22 + -22 + -0.5a = 15 + -22 Combine like terms: 22 + -22 = 0 0 + -0.5a = 15 + -22 -0.5a = 15 + -22 Combine like terms: 15 + -22 = -7 -0.5a = -7 Divide each side by '-0.5'. a = 14 Simplifying a = 14
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