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