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Simplifying -11 + 5r + -6 + -1r = 5r + -7 + 4r Reorder the terms: -11 + -6 + 5r + -1r = 5r + -7 + 4r Combine like terms: -11 + -6 = -17 -17 + 5r + -1r = 5r + -7 + 4r Combine like terms: 5r + -1r = 4r -17 + 4r = 5r + -7 + 4r Reorder the terms: -17 + 4r = -7 + 5r + 4r Combine like terms: 5r + 4r = 9r -17 + 4r = -7 + 9r Solving -17 + 4r = -7 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -17 + 4r + -9r = -7 + 9r + -9r Combine like terms: 4r + -9r = -5r -17 + -5r = -7 + 9r + -9r Combine like terms: 9r + -9r = 0 -17 + -5r = -7 + 0 -17 + -5r = -7 Add '17' to each side of the equation. -17 + 17 + -5r = -7 + 17 Combine like terms: -17 + 17 = 0 0 + -5r = -7 + 17 -5r = -7 + 17 Combine like terms: -7 + 17 = 10 -5r = 10 Divide each side by '-5'. r = -2 Simplifying r = -2
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