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Simplifying 1500 + 10r = 1000 + 30r Solving 1500 + 10r = 1000 + 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. 1500 + 10r + -30r = 1000 + 30r + -30r Combine like terms: 10r + -30r = -20r 1500 + -20r = 1000 + 30r + -30r Combine like terms: 30r + -30r = 0 1500 + -20r = 1000 + 0 1500 + -20r = 1000 Add '-1500' to each side of the equation. 1500 + -1500 + -20r = 1000 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -20r = 1000 + -1500 -20r = 1000 + -1500 Combine like terms: 1000 + -1500 = -500 -20r = -500 Divide each side by '-20'. r = 25 Simplifying r = 25
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