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Simplifying 2a + 8 = -7a + 44 Reorder the terms: 8 + 2a = -7a + 44 Reorder the terms: 8 + 2a = 44 + -7a Solving 8 + 2a = 44 + -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 + 2a + 7a = 44 + -7a + 7a Combine like terms: 2a + 7a = 9a 8 + 9a = 44 + -7a + 7a Combine like terms: -7a + 7a = 0 8 + 9a = 44 + 0 8 + 9a = 44 Add '-8' to each side of the equation. 8 + -8 + 9a = 44 + -8 Combine like terms: 8 + -8 = 0 0 + 9a = 44 + -8 9a = 44 + -8 Combine like terms: 44 + -8 = 36 9a = 36 Divide each side by '9'. a = 4 Simplifying a = 4
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