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Simplifying 5r + -3 = 7 + -5r Reorder the terms: -3 + 5r = 7 + -5r Solving -3 + 5r = 7 + -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. -3 + 5r + 5r = 7 + -5r + 5r Combine like terms: 5r + 5r = 10r -3 + 10r = 7 + -5r + 5r Combine like terms: -5r + 5r = 0 -3 + 10r = 7 + 0 -3 + 10r = 7 Add '3' to each side of the equation. -3 + 3 + 10r = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 10r = 7 + 3 10r = 7 + 3 Combine like terms: 7 + 3 = 10 10r = 10 Divide each side by '10'. r = 1 Simplifying r = 1
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