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Simplifying a + -427 = -8a + -4 Reorder the terms: -427 + a = -8a + -4 Reorder the terms: -427 + a = -4 + -8a Solving -427 + a = -4 + -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. -427 + a + 8a = -4 + -8a + 8a Combine like terms: a + 8a = 9a -427 + 9a = -4 + -8a + 8a Combine like terms: -8a + 8a = 0 -427 + 9a = -4 + 0 -427 + 9a = -4 Add '427' to each side of the equation. -427 + 427 + 9a = -4 + 427 Combine like terms: -427 + 427 = 0 0 + 9a = -4 + 427 9a = -4 + 427 Combine like terms: -4 + 427 = 423 9a = 423 Divide each side by '9'. a = 47 Simplifying a = 47
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