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Simplifying -5a + 5 = a + -13 Reorder the terms: 5 + -5a = a + -13 Reorder the terms: 5 + -5a = -13 + a Solving 5 + -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. 5 + -5a + -1a = -13 + a + -1a Combine like terms: -5a + -1a = -6a 5 + -6a = -13 + a + -1a Combine like terms: a + -1a = 0 5 + -6a = -13 + 0 5 + -6a = -13 Add '-5' to each side of the equation. 5 + -5 + -6a = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -6a = -13 + -5 -6a = -13 + -5 Combine like terms: -13 + -5 = -18 -6a = -18 Divide each side by '-6'. a = 3 Simplifying a = 3
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