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Simplifying 5 + 6r + -1 = 9r + 10 + -4r Reorder the terms: 5 + -1 + 6r = 9r + 10 + -4r Combine like terms: 5 + -1 = 4 4 + 6r = 9r + 10 + -4r Reorder the terms: 4 + 6r = 10 + 9r + -4r Combine like terms: 9r + -4r = 5r 4 + 6r = 10 + 5r Solving 4 + 6r = 10 + 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. 4 + 6r + -5r = 10 + 5r + -5r Combine like terms: 6r + -5r = 1r 4 + 1r = 10 + 5r + -5r Combine like terms: 5r + -5r = 0 4 + 1r = 10 + 0 4 + 1r = 10 Add '-4' to each side of the equation. 4 + -4 + 1r = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1r = 10 + -4 1r = 10 + -4 Combine like terms: 10 + -4 = 6 1r = 6 Divide each side by '1'. r = 6 Simplifying r = 6
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