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Simplifying 5r + 34 = 8r + 10 Reorder the terms: 34 + 5r = 8r + 10 Reorder the terms: 34 + 5r = 10 + 8r Solving 34 + 5r = 10 + 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. 34 + 5r + -8r = 10 + 8r + -8r Combine like terms: 5r + -8r = -3r 34 + -3r = 10 + 8r + -8r Combine like terms: 8r + -8r = 0 34 + -3r = 10 + 0 34 + -3r = 10 Add '-34' to each side of the equation. 34 + -34 + -3r = 10 + -34 Combine like terms: 34 + -34 = 0 0 + -3r = 10 + -34 -3r = 10 + -34 Combine like terms: 10 + -34 = -24 -3r = -24 Divide each side by '-3'. r = 8 Simplifying r = 8
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