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Simplifying a + 30 = -1a + 8 Reorder the terms: 30 + a = -1a + 8 Reorder the terms: 30 + a = 8 + -1a Solving 30 + a = 8 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 30 + a + a = 8 + -1a + a Combine like terms: a + a = 2a 30 + 2a = 8 + -1a + a Combine like terms: -1a + a = 0 30 + 2a = 8 + 0 30 + 2a = 8 Add '-30' to each side of the equation. 30 + -30 + 2a = 8 + -30 Combine like terms: 30 + -30 = 0 0 + 2a = 8 + -30 2a = 8 + -30 Combine like terms: 8 + -30 = -22 2a = -22 Divide each side by '2'. a = -11 Simplifying a = -11
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