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Simplifying 7(1 + 7a) = a + 7 (1 * 7 + 7a * 7) = a + 7 (7 + 49a) = a + 7 Reorder the terms: 7 + 49a = 7 + a Add '-7' to each side of the equation. 7 + -7 + 49a = 7 + -7 + a Combine like terms: 7 + -7 = 0 0 + 49a = 7 + -7 + a 49a = 7 + -7 + a Combine like terms: 7 + -7 = 0 49a = 0 + a 49a = a Solving 49a = a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 49a + -1a = a + -1a Combine like terms: 49a + -1a = 48a 48a = a + -1a Combine like terms: a + -1a = 0 48a = 0 Divide each side by '48'. a = 0 Simplifying a = 0
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