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Simplifying 25a + -8a + a + 8a + -22a + 2 = 50 Reorder the terms: 2 + 25a + -8a + a + 8a + -22a = 50 Combine like terms: 25a + -8a = 17a 2 + 17a + a + 8a + -22a = 50 Combine like terms: 17a + a = 18a 2 + 18a + 8a + -22a = 50 Combine like terms: 18a + 8a = 26a 2 + 26a + -22a = 50 Combine like terms: 26a + -22a = 4a 2 + 4a = 50 Solving 2 + 4a = 50 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4a = 50 + -2 Combine like terms: 2 + -2 = 0 0 + 4a = 50 + -2 4a = 50 + -2 Combine like terms: 50 + -2 = 48 4a = 48 Divide each side by '4'. a = 12 Simplifying a = 12
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