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Simplifying 5a + 5 + -2a + 2 = 8a + -13 + a Reorder the terms: 5 + 2 + 5a + -2a = 8a + -13 + a Combine like terms: 5 + 2 = 7 7 + 5a + -2a = 8a + -13 + a Combine like terms: 5a + -2a = 3a 7 + 3a = 8a + -13 + a Reorder the terms: 7 + 3a = -13 + 8a + a Combine like terms: 8a + a = 9a 7 + 3a = -13 + 9a Solving 7 + 3a = -13 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 7 + 3a + -9a = -13 + 9a + -9a Combine like terms: 3a + -9a = -6a 7 + -6a = -13 + 9a + -9a Combine like terms: 9a + -9a = 0 7 + -6a = -13 + 0 7 + -6a = -13 Add '-7' to each side of the equation. 7 + -7 + -6a = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -6a = -13 + -7 -6a = -13 + -7 Combine like terms: -13 + -7 = -20 -6a = -20 Divide each side by '-6'. a = 3.333333333 Simplifying a = 3.333333333
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