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Simplifying 5a + 8 = 2a + 7 Reorder the terms: 8 + 5a = 2a + 7 Reorder the terms: 8 + 5a = 7 + 2a Solving 8 + 5a = 7 + 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 = 7 + 2a + -2a Combine like terms: 5a + -2a = 3a 8 + 3a = 7 + 2a + -2a Combine like terms: 2a + -2a = 0 8 + 3a = 7 + 0 8 + 3a = 7 Add '-8' to each side of the equation. 8 + -8 + 3a = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 3a = 7 + -8 3a = 7 + -8 Combine like terms: 7 + -8 = -1 3a = -1 Divide each side by '3'. a = -0.3333333333 Simplifying a = -0.3333333333
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