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Simplifying -8a + 7(a + 7) = 1 Reorder the terms: -8a + 7(7 + a) = 1 -8a + (7 * 7 + a * 7) = 1 -8a + (49 + 7a) = 1 Reorder the terms: 49 + -8a + 7a = 1 Combine like terms: -8a + 7a = -1a 49 + -1a = 1 Solving 49 + -1a = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1a = 1 + -49 Combine like terms: 49 + -49 = 0 0 + -1a = 1 + -49 -1a = 1 + -49 Combine like terms: 1 + -49 = -48 -1a = -48 Divide each side by '-1'. a = 48 Simplifying a = 48
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