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Simplifying 8 + 5r + -3 = 9r + 6 + -3r Reorder the terms: 8 + -3 + 5r = 9r + 6 + -3r Combine like terms: 8 + -3 = 5 5 + 5r = 9r + 6 + -3r Reorder the terms: 5 + 5r = 6 + 9r + -3r Combine like terms: 9r + -3r = 6r 5 + 5r = 6 + 6r Solving 5 + 5r = 6 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 5 + 5r + -6r = 6 + 6r + -6r Combine like terms: 5r + -6r = -1r 5 + -1r = 6 + 6r + -6r Combine like terms: 6r + -6r = 0 5 + -1r = 6 + 0 5 + -1r = 6 Add '-5' to each side of the equation. 5 + -5 + -1r = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -1r = 6 + -5 -1r = 6 + -5 Combine like terms: 6 + -5 = 1 -1r = 1 Divide each side by '-1'. r = -1 Simplifying r = -1
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