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Simplifying a + 412 = -8a + 7 Reorder the terms: 412 + a = -8a + 7 Reorder the terms: 412 + a = 7 + -8a Solving 412 + a = 7 + -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. 412 + a + 8a = 7 + -8a + 8a Combine like terms: a + 8a = 9a 412 + 9a = 7 + -8a + 8a Combine like terms: -8a + 8a = 0 412 + 9a = 7 + 0 412 + 9a = 7 Add '-412' to each side of the equation. 412 + -412 + 9a = 7 + -412 Combine like terms: 412 + -412 = 0 0 + 9a = 7 + -412 9a = 7 + -412 Combine like terms: 7 + -412 = -405 9a = -405 Divide each side by '9'. a = -45 Simplifying a = -45
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