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Simplifying 8 + 8r + -7 = 8r + 13 + -4r Reorder the terms: 8 + -7 + 8r = 8r + 13 + -4r Combine like terms: 8 + -7 = 1 1 + 8r = 8r + 13 + -4r Reorder the terms: 1 + 8r = 13 + 8r + -4r Combine like terms: 8r + -4r = 4r 1 + 8r = 13 + 4r Solving 1 + 8r = 13 + 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. 1 + 8r + -4r = 13 + 4r + -4r Combine like terms: 8r + -4r = 4r 1 + 4r = 13 + 4r + -4r Combine like terms: 4r + -4r = 0 1 + 4r = 13 + 0 1 + 4r = 13 Add '-1' to each side of the equation. 1 + -1 + 4r = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 4r = 13 + -1 4r = 13 + -1 Combine like terms: 13 + -1 = 12 4r = 12 Divide each side by '4'. r = 3 Simplifying r = 3
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