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Simplifying r = (500 + -10x)(20 + 1x) Multiply (500 + -10x) * (20 + 1x) r = (500(20 + 1x) + -10x * (20 + 1x)) r = ((20 * 500 + 1x * 500) + -10x * (20 + 1x)) r = ((10000 + 500x) + -10x * (20 + 1x)) r = (10000 + 500x + (20 * -10x + 1x * -10x)) r = (10000 + 500x + (-200x + -10x2)) Combine like terms: 500x + -200x = 300x r = (10000 + 300x + -10x2) Solving r = 10000 + 300x + -10x2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Simplifying r = 10000 + 300x + -10x2
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