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Simplifying 22 = 0.5(4)(a + 1) Reorder the terms: 22 = 0.5 * 4(1 + a) Multiply 0.5 * 4 22 = 2(1 + a) 22 = (1 * 2 + a * 2) 22 = (2 + 2a) Solving 22 = 2 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 22 + -2a = 2 + 2a + -2a Combine like terms: 2a + -2a = 0 22 + -2a = 2 + 0 22 + -2a = 2 Add '-22' to each side of the equation. 22 + -22 + -2a = 2 + -22 Combine like terms: 22 + -22 = 0 0 + -2a = 2 + -22 -2a = 2 + -22 Combine like terms: 2 + -22 = -20 -2a = -20 Divide each side by '-2'. a = 10 Simplifying a = 10
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