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Simplifying 8(a + 1) = 7a + 2 Reorder the terms: 8(1 + a) = 7a + 2 (1 * 8 + a * 8) = 7a + 2 (8 + 8a) = 7a + 2 Reorder the terms: 8 + 8a = 2 + 7a Solving 8 + 8a = 2 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 8 + 8a + -7a = 2 + 7a + -7a Combine like terms: 8a + -7a = 1a 8 + 1a = 2 + 7a + -7a Combine like terms: 7a + -7a = 0 8 + 1a = 2 + 0 8 + 1a = 2 Add '-8' to each side of the equation. 8 + -8 + 1a = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 1a = 2 + -8 1a = 2 + -8 Combine like terms: 2 + -8 = -6 1a = -6 Divide each side by '1'. a = -6 Simplifying a = -6
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