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Simplifying 3a + 13 = 2a + 23 Reorder the terms: 13 + 3a = 2a + 23 Reorder the terms: 13 + 3a = 23 + 2a Solving 13 + 3a = 23 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 13 + 3a + -2a = 23 + 2a + -2a Combine like terms: 3a + -2a = 1a 13 + 1a = 23 + 2a + -2a Combine like terms: 2a + -2a = 0 13 + 1a = 23 + 0 13 + 1a = 23 Add '-13' to each side of the equation. 13 + -13 + 1a = 23 + -13 Combine like terms: 13 + -13 = 0 0 + 1a = 23 + -13 1a = 23 + -13 Combine like terms: 23 + -13 = 10 1a = 10 Divide each side by '1'. a = 10 Simplifying a = 10
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