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Simplifying 2a + 2 = 8a + -52 Reorder the terms: 2 + 2a = 8a + -52 Reorder the terms: 2 + 2a = -52 + 8a Solving 2 + 2a = -52 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 2 + 2a + -8a = -52 + 8a + -8a Combine like terms: 2a + -8a = -6a 2 + -6a = -52 + 8a + -8a Combine like terms: 8a + -8a = 0 2 + -6a = -52 + 0 2 + -6a = -52 Add '-2' to each side of the equation. 2 + -2 + -6a = -52 + -2 Combine like terms: 2 + -2 = 0 0 + -6a = -52 + -2 -6a = -52 + -2 Combine like terms: -52 + -2 = -54 -6a = -54 Divide each side by '-6'. a = 9 Simplifying a = 9
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