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Simplifying 500 = (250)(-2) + b Multiply 250 * -2 500 = -500 + b Solving 500 = -500 + 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. 500 + -1b = -500 + b + -1b Combine like terms: b + -1b = 0 500 + -1b = -500 + 0 500 + -1b = -500 Add '-500' to each side of the equation. 500 + -500 + -1b = -500 + -500 Combine like terms: 500 + -500 = 0 0 + -1b = -500 + -500 -1b = -500 + -500 Combine like terms: -500 + -500 = -1000 -1b = -1000 Divide each side by '-1'. b = 1000 Simplifying b = 1000
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