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Simplifying 1000 = 1000(b + -2) Reorder the terms: 1000 = 1000(-2 + b) 1000 = (-2 * 1000 + b * 1000) 1000 = (-2000 + 1000b) Solving 1000 = -2000 + 1000b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1000b' to each side of the equation. 1000 + -1000b = -2000 + 1000b + -1000b Combine like terms: 1000b + -1000b = 0 1000 + -1000b = -2000 + 0 1000 + -1000b = -2000 Add '-1000' to each side of the equation. 1000 + -1000 + -1000b = -2000 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -1000b = -2000 + -1000 -1000b = -2000 + -1000 Combine like terms: -2000 + -1000 = -3000 -1000b = -3000 Divide each side by '-1000'. b = 3 Simplifying b = 3
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