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Simplifying 6a + -5 = 13 + -3a Reorder the terms: -5 + 6a = 13 + -3a Solving -5 + 6a = 13 + -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 + 6a + 3a = 13 + -3a + 3a Combine like terms: 6a + 3a = 9a -5 + 9a = 13 + -3a + 3a Combine like terms: -3a + 3a = 0 -5 + 9a = 13 + 0 -5 + 9a = 13 Add '5' to each side of the equation. -5 + 5 + 9a = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 9a = 13 + 5 9a = 13 + 5 Combine like terms: 13 + 5 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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