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Simplifying 1 + -2r + 7 = 5r + -7 Reorder the terms: 1 + 7 + -2r = 5r + -7 Combine like terms: 1 + 7 = 8 8 + -2r = 5r + -7 Reorder the terms: 8 + -2r = -7 + 5r Solving 8 + -2r = -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. 8 + -2r + -5r = -7 + 5r + -5r Combine like terms: -2r + -5r = -7r 8 + -7r = -7 + 5r + -5r Combine like terms: 5r + -5r = 0 8 + -7r = -7 + 0 8 + -7r = -7 Add '-8' to each side of the equation. 8 + -8 + -7r = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -7r = -7 + -8 -7r = -7 + -8 Combine like terms: -7 + -8 = -15 -7r = -15 Divide each side by '-7'. r = 2.142857143 Simplifying r = 2.142857143
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