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Simplifying 3a + -5 = a + 13 Reorder the terms: -5 + 3a = a + 13 Reorder the terms: -5 + 3a = 13 + a Solving -5 + 3a = 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 + 3a + -1a = 13 + a + -1a Combine like terms: 3a + -1a = 2a -5 + 2a = 13 + a + -1a Combine like terms: a + -1a = 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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