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Simplifying 7(a + 7) = 105 Reorder the terms: 7(7 + a) = 105 (7 * 7 + a * 7) = 105 (49 + 7a) = 105 Solving 49 + 7a = 105 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 7a = 105 + -49 Combine like terms: 49 + -49 = 0 0 + 7a = 105 + -49 7a = 105 + -49 Combine like terms: 105 + -49 = 56 7a = 56 Divide each side by '7'. a = 8 Simplifying a = 8
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