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Simplifying 2a + 3a + -13 = a + 3 Reorder the terms: -13 + 2a + 3a = a + 3 Combine like terms: 2a + 3a = 5a -13 + 5a = a + 3 Reorder the terms: -13 + 5a = 3 + a Solving -13 + 5a = 3 + 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. -13 + 5a + -1a = 3 + a + -1a Combine like terms: 5a + -1a = 4a -13 + 4a = 3 + a + -1a Combine like terms: a + -1a = 0 -13 + 4a = 3 + 0 -13 + 4a = 3 Add '13' to each side of the equation. -13 + 13 + 4a = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 4a = 3 + 13 4a = 3 + 13 Combine like terms: 3 + 13 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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