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Simplifying 8 + 5a = 5a + -2 + 2a Reorder the terms: 8 + 5a = -2 + 5a + 2a Combine like terms: 5a + 2a = 7a 8 + 5a = -2 + 7a Solving 8 + 5a = -2 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 8 + 5a + -7a = -2 + 7a + -7a Combine like terms: 5a + -7a = -2a 8 + -2a = -2 + 7a + -7a Combine like terms: 7a + -7a = 0 8 + -2a = -2 + 0 8 + -2a = -2 Add '-8' to each side of the equation. 8 + -8 + -2a = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -2a = -2 + -8 -2a = -2 + -8 Combine like terms: -2 + -8 = -10 -2a = -10 Divide each side by '-2'. a = 5 Simplifying a = 5
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