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Simplifying -5a + -19 = 13a + 17 Reorder the terms: -19 + -5a = 13a + 17 Reorder the terms: -19 + -5a = 17 + 13a Solving -19 + -5a = 17 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -19 + -5a + -13a = 17 + 13a + -13a Combine like terms: -5a + -13a = -18a -19 + -18a = 17 + 13a + -13a Combine like terms: 13a + -13a = 0 -19 + -18a = 17 + 0 -19 + -18a = 17 Add '19' to each side of the equation. -19 + 19 + -18a = 17 + 19 Combine like terms: -19 + 19 = 0 0 + -18a = 17 + 19 -18a = 17 + 19 Combine like terms: 17 + 19 = 36 -18a = 36 Divide each side by '-18'. a = -2 Simplifying a = -2
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