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Simplifying 4r + 7 = 5r + 34 Reorder the terms: 7 + 4r = 5r + 34 Reorder the terms: 7 + 4r = 34 + 5r Solving 7 + 4r = 34 + 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. 7 + 4r + -5r = 34 + 5r + -5r Combine like terms: 4r + -5r = -1r 7 + -1r = 34 + 5r + -5r Combine like terms: 5r + -5r = 0 7 + -1r = 34 + 0 7 + -1r = 34 Add '-7' to each side of the equation. 7 + -7 + -1r = 34 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = 34 + -7 -1r = 34 + -7 Combine like terms: 34 + -7 = 27 -1r = 27 Divide each side by '-1'. r = -27 Simplifying r = -27
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