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