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Simplifying 4a + (3a + 5) = 47 Reorder the terms: 4a + (5 + 3a) = 47 Remove parenthesis around (5 + 3a) 4a + 5 + 3a = 47 Reorder the terms: 5 + 4a + 3a = 47 Combine like terms: 4a + 3a = 7a 5 + 7a = 47 Solving 5 + 7a = 47 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7a = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 7a = 47 + -5 7a = 47 + -5 Combine like terms: 47 + -5 = 42 7a = 42 Divide each side by '7'. a = 6 Simplifying a = 6
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