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Simplifying 10r + 61 = 15r + 11 Reorder the terms: 61 + 10r = 15r + 11 Reorder the terms: 61 + 10r = 11 + 15r Solving 61 + 10r = 11 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. 61 + 10r + -15r = 11 + 15r + -15r Combine like terms: 10r + -15r = -5r 61 + -5r = 11 + 15r + -15r Combine like terms: 15r + -15r = 0 61 + -5r = 11 + 0 61 + -5r = 11 Add '-61' to each side of the equation. 61 + -61 + -5r = 11 + -61 Combine like terms: 61 + -61 = 0 0 + -5r = 11 + -61 -5r = 11 + -61 Combine like terms: 11 + -61 = -50 -5r = -50 Divide each side by '-5'. r = 10 Simplifying r = 10
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