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Simplifying a + 5 = -5a + 41 Reorder the terms: 5 + a = -5a + 41 Reorder the terms: 5 + a = 41 + -5a Solving 5 + a = 41 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 5 + a + 5a = 41 + -5a + 5a Combine like terms: a + 5a = 6a 5 + 6a = 41 + -5a + 5a Combine like terms: -5a + 5a = 0 5 + 6a = 41 + 0 5 + 6a = 41 Add '-5' to each side of the equation. 5 + -5 + 6a = 41 + -5 Combine like terms: 5 + -5 = 0 0 + 6a = 41 + -5 6a = 41 + -5 Combine like terms: 41 + -5 = 36 6a = 36 Divide each side by '6'. a = 6 Simplifying a = 6
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