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Simplifying 2a + 13 = 3a + -14 Reorder the terms: 13 + 2a = 3a + -14 Reorder the terms: 13 + 2a = -14 + 3a Solving 13 + 2a = -14 + 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. 13 + 2a + -3a = -14 + 3a + -3a Combine like terms: 2a + -3a = -1a 13 + -1a = -14 + 3a + -3a Combine like terms: 3a + -3a = 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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