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Simplifying 7(a + 1) + 1 = 8a Reorder the terms: 7(1 + a) + 1 = 8a (1 * 7 + a * 7) + 1 = 8a (7 + 7a) + 1 = 8a Reorder the terms: 7 + 1 + 7a = 8a Combine like terms: 7 + 1 = 8 8 + 7a = 8a Solving 8 + 7a = 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. 8 + 7a + -8a = 8a + -8a Combine like terms: 7a + -8a = -1a 8 + -1a = 8a + -8a Combine like terms: 8a + -8a = 0 8 + -1a = 0 Add '-8' to each side of the equation. 8 + -8 + -1a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = 0 + -8 -1a = 0 + -8 Combine like terms: 0 + -8 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8
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