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Simplifying a + 5 = 3a + -13 Reorder the terms: 5 + a = 3a + -13 Reorder the terms: 5 + a = -13 + 3a Solving 5 + 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. 5 + a + -3a = -13 + 3a + -3a Combine like terms: a + -3a = -2a 5 + -2a = -13 + 3a + -3a Combine like terms: 3a + -3a = 0 5 + -2a = -13 + 0 5 + -2a = -13 Add '-5' to each side of the equation. 5 + -5 + -2a = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = -13 + -5 -2a = -13 + -5 Combine like terms: -13 + -5 = -18 -2a = -18 Divide each side by '-2'. a = 9 Simplifying a = 9
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