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Simplifying 5r + 30 = -5r + 20 Reorder the terms: 30 + 5r = -5r + 20 Reorder the terms: 30 + 5r = 20 + -5r Solving 30 + 5r = 20 + -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. 30 + 5r + 5r = 20 + -5r + 5r Combine like terms: 5r + 5r = 10r 30 + 10r = 20 + -5r + 5r Combine like terms: -5r + 5r = 0 30 + 10r = 20 + 0 30 + 10r = 20 Add '-30' to each side of the equation. 30 + -30 + 10r = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 10r = 20 + -30 10r = 20 + -30 Combine like terms: 20 + -30 = -10 10r = -10 Divide each side by '10'. r = -1 Simplifying r = -1
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