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Simplifying 5a + 13 = 11a + -2 Reorder the terms: 13 + 5a = 11a + -2 Reorder the terms: 13 + 5a = -2 + 11a Solving 13 + 5a = -2 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 13 + 5a + -11a = -2 + 11a + -11a Combine like terms: 5a + -11a = -6a 13 + -6a = -2 + 11a + -11a Combine like terms: 11a + -11a = 0 13 + -6a = -2 + 0 13 + -6a = -2 Add '-13' to each side of the equation. 13 + -13 + -6a = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -6a = -2 + -13 -6a = -2 + -13 Combine like terms: -2 + -13 = -15 -6a = -15 Divide each side by '-6'. a = 2.5 Simplifying a = 2.5
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