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Simplifying a + 6(7a + 7) = 257 Reorder the terms: a + 6(7 + 7a) = 257 a + (7 * 6 + 7a * 6) = 257 a + (42 + 42a) = 257 Reorder the terms: 42 + a + 42a = 257 Combine like terms: a + 42a = 43a 42 + 43a = 257 Solving 42 + 43a = 257 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 43a = 257 + -42 Combine like terms: 42 + -42 = 0 0 + 43a = 257 + -42 43a = 257 + -42 Combine like terms: 257 + -42 = 215 43a = 215 Divide each side by '43'. a = 5 Simplifying a = 5
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