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Simplifying 13 + 2a = 3a + -14 + -2a Reorder the terms: 13 + 2a = -14 + 3a + -2a Combine like terms: 3a + -2a = 1a 13 + 2a = -14 + 1a Solving 13 + 2a = -14 + 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. 13 + 2a + -1a = -14 + 1a + -1a Combine like terms: 2a + -1a = 1a 13 + 1a = -14 + 1a + -1a Combine like terms: 1a + -1a = 0 13 + 1a = -14 + 0 13 + 1a = -14 Add '-13' to each side of the equation. 13 + -13 + 1a = -14 + -13 Combine like terms: 13 + -13 = 0 0 + 1a = -14 + -13 1a = -14 + -13 Combine like terms: -14 + -13 = -27 1a = -27 Divide each side by '1'. a = -27 Simplifying a = -27
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