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Simplifying 8(1 + 4a) + 2a = 37 + 5a (1 * 8 + 4a * 8) + 2a = 37 + 5a (8 + 32a) + 2a = 37 + 5a Combine like terms: 32a + 2a = 34a 8 + 34a = 37 + 5a Solving 8 + 34a = 37 + 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 + 34a + -5a = 37 + 5a + -5a Combine like terms: 34a + -5a = 29a 8 + 29a = 37 + 5a + -5a Combine like terms: 5a + -5a = 0 8 + 29a = 37 + 0 8 + 29a = 37 Add '-8' to each side of the equation. 8 + -8 + 29a = 37 + -8 Combine like terms: 8 + -8 = 0 0 + 29a = 37 + -8 29a = 37 + -8 Combine like terms: 37 + -8 = 29 29a = 29 Divide each side by '29'. a = 1 Simplifying a = 1
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