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Simplifying 4r + 7 = 8r + -13 Reorder the terms: 7 + 4r = 8r + -13 Reorder the terms: 7 + 4r = -13 + 8r Solving 7 + 4r = -13 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 7 + 4r + -8r = -13 + 8r + -8r Combine like terms: 4r + -8r = -4r 7 + -4r = -13 + 8r + -8r Combine like terms: 8r + -8r = 0 7 + -4r = -13 + 0 7 + -4r = -13 Add '-7' to each side of the equation. 7 + -7 + -4r = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -4r = -13 + -7 -4r = -13 + -7 Combine like terms: -13 + -7 = -20 -4r = -20 Divide each side by '-4'. r = 5 Simplifying r = 5
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