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Simplifying 3a + -1 + 8 = -8a + 7 Reorder the terms: -1 + 8 + 3a = -8a + 7 Combine like terms: -1 + 8 = 7 7 + 3a = -8a + 7 Reorder the terms: 7 + 3a = 7 + -8a Add '-7' to each side of the equation. 7 + -7 + 3a = 7 + -7 + -8a Combine like terms: 7 + -7 = 0 0 + 3a = 7 + -7 + -8a 3a = 7 + -7 + -8a Combine like terms: 7 + -7 = 0 3a = 0 + -8a 3a = -8a Solving 3a = -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. 3a + 8a = -8a + 8a Combine like terms: 3a + 8a = 11a 11a = -8a + 8a Combine like terms: -8a + 8a = 0 11a = 0 Divide each side by '11'. a = 0 Simplifying a = 0
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