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Simplifying 5r + 22 + -7 = 2 + -1r Reorder the terms: 22 + -7 + 5r = 2 + -1r Combine like terms: 22 + -7 = 15 15 + 5r = 2 + -1r Solving 15 + 5r = 2 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 15 + 5r + r = 2 + -1r + r Combine like terms: 5r + r = 6r 15 + 6r = 2 + -1r + r Combine like terms: -1r + r = 0 15 + 6r = 2 + 0 15 + 6r = 2 Add '-15' to each side of the equation. 15 + -15 + 6r = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 6r = 2 + -15 6r = 2 + -15 Combine like terms: 2 + -15 = -13 6r = -13 Divide each side by '6'. r = -2.166666667 Simplifying r = -2.166666667
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