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Simplifying 2r + 5 = -5r + 40 Reorder the terms: 5 + 2r = -5r + 40 Reorder the terms: 5 + 2r = 40 + -5r Solving 5 + 2r = 40 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 5 + 2r + 5r = 40 + -5r + 5r Combine like terms: 2r + 5r = 7r 5 + 7r = 40 + -5r + 5r Combine like terms: -5r + 5r = 0 5 + 7r = 40 + 0 5 + 7r = 40 Add '-5' to each side of the equation. 5 + -5 + 7r = 40 + -5 Combine like terms: 5 + -5 = 0 0 + 7r = 40 + -5 7r = 40 + -5 Combine like terms: 40 + -5 = 35 7r = 35 Divide each side by '7'. r = 5 Simplifying r = 5
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