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