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Simplifying 5r + 7 = 8r + -23 Reorder the terms: 7 + 5r = 8r + -23 Reorder the terms: 7 + 5r = -23 + 8r Solving 7 + 5r = -23 + 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 + 5r + -8r = -23 + 8r + -8r Combine like terms: 5r + -8r = -3r 7 + -3r = -23 + 8r + -8r Combine like terms: 8r + -8r = 0 7 + -3r = -23 + 0 7 + -3r = -23 Add '-7' to each side of the equation. 7 + -7 + -3r = -23 + -7 Combine like terms: 7 + -7 = 0 0 + -3r = -23 + -7 -3r = -23 + -7 Combine like terms: -23 + -7 = -30 -3r = -30 Divide each side by '-3'. r = 10 Simplifying r = 10
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