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Simplifying 4 + -5a = a + -13 Reorder the terms: 4 + -5a = -13 + a Solving 4 + -5a = -13 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 4 + -5a + -1a = -13 + a + -1a Combine like terms: -5a + -1a = -6a 4 + -6a = -13 + a + -1a Combine like terms: a + -1a = 0 4 + -6a = -13 + 0 4 + -6a = -13 Add '-4' to each side of the equation. 4 + -4 + -6a = -13 + -4 Combine like terms: 4 + -4 = 0 0 + -6a = -13 + -4 -6a = -13 + -4 Combine like terms: -13 + -4 = -17 -6a = -17 Divide each side by '-6'. a = 2.833333333 Simplifying a = 2.833333333
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