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Simplifying 8r + 5 + -9r = 4r + -10 Reorder the terms: 5 + 8r + -9r = 4r + -10 Combine like terms: 8r + -9r = -1r 5 + -1r = 4r + -10 Reorder the terms: 5 + -1r = -10 + 4r Solving 5 + -1r = -10 + 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. 5 + -1r + -4r = -10 + 4r + -4r Combine like terms: -1r + -4r = -5r 5 + -5r = -10 + 4r + -4r Combine like terms: 4r + -4r = 0 5 + -5r = -10 + 0 5 + -5r = -10 Add '-5' to each side of the equation. 5 + -5 + -5r = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -5r = -10 + -5 -5r = -10 + -5 Combine like terms: -10 + -5 = -15 -5r = -15 Divide each side by '-5'. r = 3 Simplifying r = 3
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