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Simplifying 8 + 8r + -7 = 9r + 4 + -4r Reorder the terms: 8 + -7 + 8r = 9r + 4 + -4r Combine like terms: 8 + -7 = 1 1 + 8r = 9r + 4 + -4r Reorder the terms: 1 + 8r = 4 + 9r + -4r Combine like terms: 9r + -4r = 5r 1 + 8r = 4 + 5r Solving 1 + 8r = 4 + 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. 1 + 8r + -5r = 4 + 5r + -5r Combine like terms: 8r + -5r = 3r 1 + 3r = 4 + 5r + -5r Combine like terms: 5r + -5r = 0 1 + 3r = 4 + 0 1 + 3r = 4 Add '-1' to each side of the equation. 1 + -1 + 3r = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 3r = 4 + -1 3r = 4 + -1 Combine like terms: 4 + -1 = 3 3r = 3 Divide each side by '3'. r = 1 Simplifying r = 1
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