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Simplifying 6r + -7 = 13 + -4r Reorder the terms: -7 + 6r = 13 + -4r Solving -7 + 6r = 13 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -7 + 6r + 4r = 13 + -4r + 4r Combine like terms: 6r + 4r = 10r -7 + 10r = 13 + -4r + 4r Combine like terms: -4r + 4r = 0 -7 + 10r = 13 + 0 -7 + 10r = 13 Add '7' to each side of the equation. -7 + 7 + 10r = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 10r = 13 + 7 10r = 13 + 7 Combine like terms: 13 + 7 = 20 10r = 20 Divide each side by '10'. r = 2 Simplifying r = 2
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