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Simplifying a + 165 = -4a + 5 Reorder the terms: 165 + a = -4a + 5 Reorder the terms: 165 + a = 5 + -4a Solving 165 + a = 5 + -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. 165 + a + 4a = 5 + -4a + 4a Combine like terms: a + 4a = 5a 165 + 5a = 5 + -4a + 4a Combine like terms: -4a + 4a = 0 165 + 5a = 5 + 0 165 + 5a = 5 Add '-165' to each side of the equation. 165 + -165 + 5a = 5 + -165 Combine like terms: 165 + -165 = 0 0 + 5a = 5 + -165 5a = 5 + -165 Combine like terms: 5 + -165 = -160 5a = -160 Divide each side by '5'. a = -32 Simplifying a = -32
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