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Simplifying a + 13 = -1a + -19 Reorder the terms: 13 + a = -1a + -19 Reorder the terms: 13 + a = -19 + -1a Solving 13 + a = -19 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 13 + a + a = -19 + -1a + a Combine like terms: a + a = 2a 13 + 2a = -19 + -1a + a Combine like terms: -1a + a = 0 13 + 2a = -19 + 0 13 + 2a = -19 Add '-13' to each side of the equation. 13 + -13 + 2a = -19 + -13 Combine like terms: 13 + -13 = 0 0 + 2a = -19 + -13 2a = -19 + -13 Combine like terms: -19 + -13 = -32 2a = -32 Divide each side by '2'. a = -16 Simplifying a = -16
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