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Simplifying -8r + -34 = 20 + -10r + -7r Reorder the terms: -34 + -8r = 20 + -10r + -7r Combine like terms: -10r + -7r = -17r -34 + -8r = 20 + -17r Solving -34 + -8r = 20 + -17r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '17r' to each side of the equation. -34 + -8r + 17r = 20 + -17r + 17r Combine like terms: -8r + 17r = 9r -34 + 9r = 20 + -17r + 17r Combine like terms: -17r + 17r = 0 -34 + 9r = 20 + 0 -34 + 9r = 20 Add '34' to each side of the equation. -34 + 34 + 9r = 20 + 34 Combine like terms: -34 + 34 = 0 0 + 9r = 20 + 34 9r = 20 + 34 Combine like terms: 20 + 34 = 54 9r = 54 Divide each side by '9'. r = 6 Simplifying r = 6
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