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Simplifying 25 + -1b + 25 + -1b + 25 + -1a + 25 + -1a = 50 Reorder the terms: 25 + 25 + 25 + 25 + -1a + -1a + -1b + -1b = 50 Combine like terms: 25 + 25 = 50 50 + 25 + 25 + -1a + -1a + -1b + -1b = 50 Combine like terms: 50 + 25 = 75 75 + 25 + -1a + -1a + -1b + -1b = 50 Combine like terms: 75 + 25 = 100 100 + -1a + -1a + -1b + -1b = 50 Combine like terms: -1a + -1a = -2a 100 + -2a + -1b + -1b = 50 Combine like terms: -1b + -1b = -2b 100 + -2a + -2b = 50 Solving 100 + -2a + -2b = 50 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -2a + -100 + -2b = 50 + -100 Reorder the terms: 100 + -100 + -2a + -2b = 50 + -100 Combine like terms: 100 + -100 = 0 0 + -2a + -2b = 50 + -100 -2a + -2b = 50 + -100 Combine like terms: 50 + -100 = -50 -2a + -2b = -50 Add '2b' to each side of the equation. -2a + -2b + 2b = -50 + 2b Combine like terms: -2b + 2b = 0 -2a + 0 = -50 + 2b -2a = -50 + 2b Divide each side by '-2'. a = 25 + -1b Simplifying a = 25 + -1b
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