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Simplifying 49 = a + b(200) Reorder the terms for easier multiplication: 49 = a + 200b Solving 49 = a + 200b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 49 + -1a = a + -1a + 200b Combine like terms: a + -1a = 0 49 + -1a = 0 + 200b 49 + -1a = 200b Add '-49' to each side of the equation. 49 + -49 + -1a = -49 + 200b Combine like terms: 49 + -49 = 0 0 + -1a = -49 + 200b -1a = -49 + 200b Divide each side by '-1'. a = 49 + -200b Simplifying a = 49 + -200b
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