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Simplifying (7 + 3a) + (a * 2 + 5) = 117 Remove parenthesis around (7 + 3a) 7 + 3a + (a * 2 + 5) = 117 Reorder the terms for easier multiplication: 7 + 3a + (2a + 5) = 117 Reorder the terms: 7 + 3a + (5 + 2a) = 117 Remove parenthesis around (5 + 2a) 7 + 3a + 5 + 2a = 117 Reorder the terms: 7 + 5 + 3a + 2a = 117 Combine like terms: 7 + 5 = 12 12 + 3a + 2a = 117 Combine like terms: 3a + 2a = 5a 12 + 5a = 117 Solving 12 + 5a = 117 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5a = 117 + -12 Combine like terms: 12 + -12 = 0 0 + 5a = 117 + -12 5a = 117 + -12 Combine like terms: 117 + -12 = 105 5a = 105 Divide each side by '5'. a = 21 Simplifying a = 21
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