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Simplifying (a + 2)(1 + 3) + -2 = 22 Reorder the terms: (2 + a)(1 + 3) + -2 = 22 Combine like terms: 1 + 3 = 4 (2 + a)(4) + -2 = 22 Reorder the terms for easier multiplication: 4(2 + a) + -2 = 22 (2 * 4 + a * 4) + -2 = 22 (8 + 4a) + -2 = 22 Reorder the terms: 8 + -2 + 4a = 22 Combine like terms: 8 + -2 = 6 6 + 4a = 22 Solving 6 + 4a = 22 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4a = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 4a = 22 + -6 4a = 22 + -6 Combine like terms: 22 + -6 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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