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Simplifying 8a + 8 + -5a = -1 + a + -7 Reorder the terms: 8 + 8a + -5a = -1 + a + -7 Combine like terms: 8a + -5a = 3a 8 + 3a = -1 + a + -7 Reorder the terms: 8 + 3a = -1 + -7 + a Combine like terms: -1 + -7 = -8 8 + 3a = -8 + a Solving 8 + 3a = -8 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 8 + 3a + -1a = -8 + a + -1a Combine like terms: 3a + -1a = 2a 8 + 2a = -8 + a + -1a Combine like terms: a + -1a = 0 8 + 2a = -8 + 0 8 + 2a = -8 Add '-8' to each side of the equation. 8 + -8 + 2a = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = -8 + -8 2a = -8 + -8 Combine like terms: -8 + -8 = -16 2a = -16 Divide each side by '2'. a = -8 Simplifying a = -8
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