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Simplifying 2000 + 100r = 1800 + 150r Solving 2000 + 100r = 1800 + 150r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-150r' to each side of the equation. 2000 + 100r + -150r = 1800 + 150r + -150r Combine like terms: 100r + -150r = -50r 2000 + -50r = 1800 + 150r + -150r Combine like terms: 150r + -150r = 0 2000 + -50r = 1800 + 0 2000 + -50r = 1800 Add '-2000' to each side of the equation. 2000 + -2000 + -50r = 1800 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -50r = 1800 + -2000 -50r = 1800 + -2000 Combine like terms: 1800 + -2000 = -200 -50r = -200 Divide each side by '-50'. r = 4 Simplifying r = 4
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