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Simplifying a + 167 = -4a + 7 Reorder the terms: 167 + a = -4a + 7 Reorder the terms: 167 + a = 7 + -4a Solving 167 + 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. 167 + a + 4a = 7 + -4a + 4a Combine like terms: a + 4a = 5a 167 + 5a = 7 + -4a + 4a Combine like terms: -4a + 4a = 0 167 + 5a = 7 + 0 167 + 5a = 7 Add '-167' to each side of the equation. 167 + -167 + 5a = 7 + -167 Combine like terms: 167 + -167 = 0 0 + 5a = 7 + -167 5a = 7 + -167 Combine like terms: 7 + -167 = -160 5a = -160 Divide each side by '5'. a = -32 Simplifying a = -32
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