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Simplifying 5 + 5r + 1 + 6 = 8r + r Reorder the terms: 5 + 1 + 6 + 5r = 8r + r Combine like terms: 5 + 1 = 6 6 + 6 + 5r = 8r + r Combine like terms: 6 + 6 = 12 12 + 5r = 8r + r Combine like terms: 8r + r = 9r 12 + 5r = 9r Solving 12 + 5r = 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 12 + 5r + -9r = 9r + -9r Combine like terms: 5r + -9r = -4r 12 + -4r = 9r + -9r Combine like terms: 9r + -9r = 0 12 + -4r = 0 Add '-12' to each side of the equation. 12 + -12 + -4r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4r = 0 + -12 -4r = 0 + -12 Combine like terms: 0 + -12 = -12 -4r = -12 Divide each side by '-4'. r = 3 Simplifying r = 3
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