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Simplifying 44 = 9 + 7(a + 2) Reorder the terms: 44 = 9 + 7(2 + a) 44 = 9 + (2 * 7 + a * 7) 44 = 9 + (14 + 7a) Combine like terms: 9 + 14 = 23 44 = 23 + 7a Solving 44 = 23 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 44 + -7a = 23 + 7a + -7a Combine like terms: 7a + -7a = 0 44 + -7a = 23 + 0 44 + -7a = 23 Add '-44' to each side of the equation. 44 + -44 + -7a = 23 + -44 Combine like terms: 44 + -44 = 0 0 + -7a = 23 + -44 -7a = 23 + -44 Combine like terms: 23 + -44 = -21 -7a = -21 Divide each side by '-7'. a = 3 Simplifying a = 3
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