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Simplifying 4(2 + 2a) = 5a + 47 (2 * 4 + 2a * 4) = 5a + 47 (8 + 8a) = 5a + 47 Reorder the terms: 8 + 8a = 47 + 5a Solving 8 + 8a = 47 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 8 + 8a + -5a = 47 + 5a + -5a Combine like terms: 8a + -5a = 3a 8 + 3a = 47 + 5a + -5a Combine like terms: 5a + -5a = 0 8 + 3a = 47 + 0 8 + 3a = 47 Add '-8' to each side of the equation. 8 + -8 + 3a = 47 + -8 Combine like terms: 8 + -8 = 0 0 + 3a = 47 + -8 3a = 47 + -8 Combine like terms: 47 + -8 = 39 3a = 39 Divide each side by '3'. a = 13 Simplifying a = 13
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