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Simplifying 7 + 14r + -6 = 6r + 81 + -2r Reorder the terms: 7 + -6 + 14r = 6r + 81 + -2r Combine like terms: 7 + -6 = 1 1 + 14r = 6r + 81 + -2r Reorder the terms: 1 + 14r = 81 + 6r + -2r Combine like terms: 6r + -2r = 4r 1 + 14r = 81 + 4r Solving 1 + 14r = 81 + 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. 1 + 14r + -4r = 81 + 4r + -4r Combine like terms: 14r + -4r = 10r 1 + 10r = 81 + 4r + -4r Combine like terms: 4r + -4r = 0 1 + 10r = 81 + 0 1 + 10r = 81 Add '-1' to each side of the equation. 1 + -1 + 10r = 81 + -1 Combine like terms: 1 + -1 = 0 0 + 10r = 81 + -1 10r = 81 + -1 Combine like terms: 81 + -1 = 80 10r = 80 Divide each side by '10'. r = 8 Simplifying r = 8
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