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Simplifying a + 243 = -4a + -7 Reorder the terms: 243 + a = -4a + -7 Reorder the terms: 243 + a = -7 + -4a Solving 243 + a = -7 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 243 + a + 4a = -7 + -4a + 4a Combine like terms: a + 4a = 5a 243 + 5a = -7 + -4a + 4a Combine like terms: -4a + 4a = 0 243 + 5a = -7 + 0 243 + 5a = -7 Add '-243' to each side of the equation. 243 + -243 + 5a = -7 + -243 Combine like terms: 243 + -243 = 0 0 + 5a = -7 + -243 5a = -7 + -243 Combine like terms: -7 + -243 = -250 5a = -250 Divide each side by '5'. a = -50 Simplifying a = -50
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