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Simplifying -7a + 1 = 8(1 + -1a) + 1 Reorder the terms: 1 + -7a = 8(1 + -1a) + 1 1 + -7a = (1 * 8 + -1a * 8) + 1 1 + -7a = (8 + -8a) + 1 Reorder the terms: 1 + -7a = 8 + 1 + -8a Combine like terms: 8 + 1 = 9 1 + -7a = 9 + -8a Solving 1 + -7a = 9 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 1 + -7a + 8a = 9 + -8a + 8a Combine like terms: -7a + 8a = 1a 1 + 1a = 9 + -8a + 8a Combine like terms: -8a + 8a = 0 1 + 1a = 9 + 0 1 + 1a = 9 Add '-1' to each side of the equation. 1 + -1 + 1a = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1a = 9 + -1 1a = 9 + -1 Combine like terms: 9 + -1 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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