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Simplifying 10r + 44 = 28r + -82 Reorder the terms: 44 + 10r = 28r + -82 Reorder the terms: 44 + 10r = -82 + 28r Solving 44 + 10r = -82 + 28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28r' to each side of the equation. 44 + 10r + -28r = -82 + 28r + -28r Combine like terms: 10r + -28r = -18r 44 + -18r = -82 + 28r + -28r Combine like terms: 28r + -28r = 0 44 + -18r = -82 + 0 44 + -18r = -82 Add '-44' to each side of the equation. 44 + -44 + -18r = -82 + -44 Combine like terms: 44 + -44 = 0 0 + -18r = -82 + -44 -18r = -82 + -44 Combine like terms: -82 + -44 = -126 -18r = -126 Divide each side by '-18'. r = 7 Simplifying r = 7
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