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Simplifying -34 = r + 42 + -5r Reorder the terms: -34 = 42 + r + -5r Combine like terms: r + -5r = -4r -34 = 42 + -4r Solving -34 = 42 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -34 + 4r = 42 + -4r + 4r Combine like terms: -4r + 4r = 0 -34 + 4r = 42 + 0 -34 + 4r = 42 Add '34' to each side of the equation. -34 + 34 + 4r = 42 + 34 Combine like terms: -34 + 34 = 0 0 + 4r = 42 + 34 4r = 42 + 34 Combine like terms: 42 + 34 = 76 4r = 76 Divide each side by '4'. r = 19 Simplifying r = 19
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