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Simplifying 5r + -1 = 9 + -5r Reorder the terms: -1 + 5r = 9 + -5r Solving -1 + 5r = 9 + -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. -1 + 5r + 5r = 9 + -5r + 5r Combine like terms: 5r + 5r = 10r -1 + 10r = 9 + -5r + 5r Combine like terms: -5r + 5r = 0 -1 + 10r = 9 + 0 -1 + 10r = 9 Add '1' to each side of the equation. -1 + 1 + 10r = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 10r = 9 + 1 10r = 9 + 1 Combine like terms: 9 + 1 = 10 10r = 10 Divide each side by '10'. r = 1 Simplifying r = 1
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