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Simplifying 9a + 13 = 6a + 19 Reorder the terms: 13 + 9a = 6a + 19 Reorder the terms: 13 + 9a = 19 + 6a Solving 13 + 9a = 19 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 13 + 9a + -6a = 19 + 6a + -6a Combine like terms: 9a + -6a = 3a 13 + 3a = 19 + 6a + -6a Combine like terms: 6a + -6a = 0 13 + 3a = 19 + 0 13 + 3a = 19 Add '-13' to each side of the equation. 13 + -13 + 3a = 19 + -13 Combine like terms: 13 + -13 = 0 0 + 3a = 19 + -13 3a = 19 + -13 Combine like terms: 19 + -13 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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