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Simplifying 4r + -17 + 7r = 3 + r + 10 Reorder the terms: -17 + 4r + 7r = 3 + r + 10 Combine like terms: 4r + 7r = 11r -17 + 11r = 3 + r + 10 Reorder the terms: -17 + 11r = 3 + 10 + r Combine like terms: 3 + 10 = 13 -17 + 11r = 13 + r Solving -17 + 11r = 13 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -17 + 11r + -1r = 13 + r + -1r Combine like terms: 11r + -1r = 10r -17 + 10r = 13 + r + -1r Combine like terms: r + -1r = 0 -17 + 10r = 13 + 0 -17 + 10r = 13 Add '17' to each side of the equation. -17 + 17 + 10r = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 10r = 13 + 17 10r = 13 + 17 Combine like terms: 13 + 17 = 30 10r = 30 Divide each side by '10'. r = 3 Simplifying r = 3
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