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Simplifying 8r + -7 = 5r + 8 Reorder the terms: -7 + 8r = 5r + 8 Reorder the terms: -7 + 8r = 8 + 5r Solving -7 + 8r = 8 + 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 + 8r + -5r = 8 + 5r + -5r Combine like terms: 8r + -5r = 3r -7 + 3r = 8 + 5r + -5r Combine like terms: 5r + -5r = 0 -7 + 3r = 8 + 0 -7 + 3r = 8 Add '7' to each side of the equation. -7 + 7 + 3r = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3r = 8 + 7 3r = 8 + 7 Combine like terms: 8 + 7 = 15 3r = 15 Divide each side by '3'. r = 5 Simplifying r = 5
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