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Simplifying (a + 1) * 8 + -7a = 0 Reorder the terms: (1 + a) * 8 + -7a = 0 Reorder the terms for easier multiplication: 8(1 + a) + -7a = 0 (1 * 8 + a * 8) + -7a = 0 (8 + 8a) + -7a = 0 Combine like terms: 8a + -7a = 1a 8 + 1a = 0 Solving 8 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. 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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