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Simplifying 6 + 15r + -1 = 9r + 55 + -4r Reorder the terms: 6 + -1 + 15r = 9r + 55 + -4r Combine like terms: 6 + -1 = 5 5 + 15r = 9r + 55 + -4r Reorder the terms: 5 + 15r = 55 + 9r + -4r Combine like terms: 9r + -4r = 5r 5 + 15r = 55 + 5r Solving 5 + 15r = 55 + 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. 5 + 15r + -5r = 55 + 5r + -5r Combine like terms: 15r + -5r = 10r 5 + 10r = 55 + 5r + -5r Combine like terms: 5r + -5r = 0 5 + 10r = 55 + 0 5 + 10r = 55 Add '-5' to each side of the equation. 5 + -5 + 10r = 55 + -5 Combine like terms: 5 + -5 = 0 0 + 10r = 55 + -5 10r = 55 + -5 Combine like terms: 55 + -5 = 50 10r = 50 Divide each side by '10'. r = 5 Simplifying r = 5
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