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Simplifying -2a + -5 + 3a = 6 + -5a Reorder the terms: -5 + -2a + 3a = 6 + -5a Combine like terms: -2a + 3a = 1a -5 + 1a = 6 + -5a Solving -5 + 1a = 6 + -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 + 1a + 5a = 6 + -5a + 5a Combine like terms: 1a + 5a = 6a -5 + 6a = 6 + -5a + 5a Combine like terms: -5a + 5a = 0 -5 + 6a = 6 + 0 -5 + 6a = 6 Add '5' to each side of the equation. -5 + 5 + 6a = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 6a = 6 + 5 6a = 6 + 5 Combine like terms: 6 + 5 = 11 6a = 11 Divide each side by '6'. a = 1.833333333 Simplifying a = 1.833333333
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