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Simplifying 10 + 4r = 5r + 2 Reorder the terms: 10 + 4r = 2 + 5r Solving 10 + 4r = 2 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 10 + 4r + -5r = 2 + 5r + -5r Combine like terms: 4r + -5r = -1r 10 + -1r = 2 + 5r + -5r Combine like terms: 5r + -5r = 0 10 + -1r = 2 + 0 10 + -1r = 2 Add '-10' to each side of the equation. 10 + -10 + -1r = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -1r = 2 + -10 -1r = 2 + -10 Combine like terms: 2 + -10 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8
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