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