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Simplifying a + 13 = -3a + -19 Reorder the terms: 13 + a = -3a + -19 Reorder the terms: 13 + a = -19 + -3a Solving 13 + a = -19 + -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 + a + 3a = -19 + -3a + 3a Combine like terms: a + 3a = 4a 13 + 4a = -19 + -3a + 3a Combine like terms: -3a + 3a = 0 13 + 4a = -19 + 0 13 + 4a = -19 Add '-13' to each side of the equation. 13 + -13 + 4a = -19 + -13 Combine like terms: 13 + -13 = 0 0 + 4a = -19 + -13 4a = -19 + -13 Combine like terms: -19 + -13 = -32 4a = -32 Divide each side by '4'. a = -8 Simplifying a = -8
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