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Simplifying 3r + 200 = 2r + 1000 Reorder the terms: 200 + 3r = 2r + 1000 Reorder the terms: 200 + 3r = 1000 + 2r Solving 200 + 3r = 1000 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 200 + 3r + -2r = 1000 + 2r + -2r Combine like terms: 3r + -2r = 1r 200 + 1r = 1000 + 2r + -2r Combine like terms: 2r + -2r = 0 200 + 1r = 1000 + 0 200 + 1r = 1000 Add '-200' to each side of the equation. 200 + -200 + 1r = 1000 + -200 Combine like terms: 200 + -200 = 0 0 + 1r = 1000 + -200 1r = 1000 + -200 Combine like terms: 1000 + -200 = 800 1r = 800 Divide each side by '1'. r = 800 Simplifying r = 800
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