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Simplifying -5r + 7 = 5 + -4r + 8 Reorder the terms: 7 + -5r = 5 + -4r + 8 Reorder the terms: 7 + -5r = 5 + 8 + -4r Combine like terms: 5 + 8 = 13 7 + -5r = 13 + -4r Solving 7 + -5r = 13 + -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. 7 + -5r + 4r = 13 + -4r + 4r Combine like terms: -5r + 4r = -1r 7 + -1r = 13 + -4r + 4r Combine like terms: -4r + 4r = 0 7 + -1r = 13 + 0 7 + -1r = 13 Add '-7' to each side of the equation. 7 + -7 + -1r = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = 13 + -7 -1r = 13 + -7 Combine like terms: 13 + -7 = 6 -1r = 6 Divide each side by '-1'. r = -6 Simplifying r = -6
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