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Simplifying 5 + -1a = 3a + -5 + -6a Reorder the terms: 5 + -1a = -5 + 3a + -6a Combine like terms: 3a + -6a = -3a 5 + -1a = -5 + -3a Solving 5 + -1a = -5 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 5 + -1a + 3a = -5 + -3a + 3a Combine like terms: -1a + 3a = 2a 5 + 2a = -5 + -3a + 3a Combine like terms: -3a + 3a = 0 5 + 2a = -5 + 0 5 + 2a = -5 Add '-5' to each side of the equation. 5 + -5 + 2a = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = -5 + -5 2a = -5 + -5 Combine like terms: -5 + -5 = -10 2a = -10 Divide each side by '2'. a = -5 Simplifying a = -5
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