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Simplifying 5a + -8 = -2a + 13 Reorder the terms: -8 + 5a = -2a + 13 Reorder the terms: -8 + 5a = 13 + -2a Solving -8 + 5a = 13 + -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. -8 + 5a + 2a = 13 + -2a + 2a Combine like terms: 5a + 2a = 7a -8 + 7a = 13 + -2a + 2a Combine like terms: -2a + 2a = 0 -8 + 7a = 13 + 0 -8 + 7a = 13 Add '8' to each side of the equation. -8 + 8 + 7a = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 7a = 13 + 8 7a = 13 + 8 Combine like terms: 13 + 8 = 21 7a = 21 Divide each side by '7'. a = 3 Simplifying a = 3
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