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Simplifying 1000 = 100b + -200 Reorder the terms: 1000 = -200 + 100b Solving 1000 = -200 + 100b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-100b' to each side of the equation. 1000 + -100b = -200 + 100b + -100b Combine like terms: 100b + -100b = 0 1000 + -100b = -200 + 0 1000 + -100b = -200 Add '-1000' to each side of the equation. 1000 + -1000 + -100b = -200 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -100b = -200 + -1000 -100b = -200 + -1000 Combine like terms: -200 + -1000 = -1200 -100b = -1200 Divide each side by '-100'. b = 12 Simplifying b = 12
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