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Simplifying 13 + 2a = 3a + -14 + 2a Reorder the terms: 13 + 2a = -14 + 3a + 2a Combine like terms: 3a + 2a = 5a 13 + 2a = -14 + 5a Solving 13 + 2a = -14 + 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. 13 + 2a + -5a = -14 + 5a + -5a Combine like terms: 2a + -5a = -3a 13 + -3a = -14 + 5a + -5a Combine like terms: 5a + -5a = 0 13 + -3a = -14 + 0 13 + -3a = -14 Add '-13' to each side of the equation. 13 + -13 + -3a = -14 + -13 Combine like terms: 13 + -13 = 0 0 + -3a = -14 + -13 -3a = -14 + -13 Combine like terms: -14 + -13 = -27 -3a = -27 Divide each side by '-3'. a = 9 Simplifying a = 9
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