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Simplifying -4 + 5r = r + 7 Reorder the terms: -4 + 5r = 7 + r Solving -4 + 5r = 7 + 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. -4 + 5r + -1r = 7 + r + -1r Combine like terms: 5r + -1r = 4r -4 + 4r = 7 + r + -1r Combine like terms: r + -1r = 0 -4 + 4r = 7 + 0 -4 + 4r = 7 Add '4' to each side of the equation. -4 + 4 + 4r = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 4r = 7 + 4 4r = 7 + 4 Combine like terms: 7 + 4 = 11 4r = 11 Divide each side by '4'. r = 2.75 Simplifying r = 2.75
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