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Simplifying 5a + -13 = 2a + 11 Reorder the terms: -13 + 5a = 2a + 11 Reorder the terms: -13 + 5a = 11 + 2a Solving -13 + 5a = 11 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -13 + 5a + -2a = 11 + 2a + -2a Combine like terms: 5a + -2a = 3a -13 + 3a = 11 + 2a + -2a Combine like terms: 2a + -2a = 0 -13 + 3a = 11 + 0 -13 + 3a = 11 Add '13' to each side of the equation. -13 + 13 + 3a = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 3a = 11 + 13 3a = 11 + 13 Combine like terms: 11 + 13 = 24 3a = 24 Divide each side by '3'. a = 8 Simplifying a = 8
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