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Simplifying -8r + -10 + 10r = 8r + -17 + -5r Reorder the terms: -10 + -8r + 10r = 8r + -17 + -5r Combine like terms: -8r + 10r = 2r -10 + 2r = 8r + -17 + -5r Reorder the terms: -10 + 2r = -17 + 8r + -5r Combine like terms: 8r + -5r = 3r -10 + 2r = -17 + 3r Solving -10 + 2r = -17 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -10 + 2r + -3r = -17 + 3r + -3r Combine like terms: 2r + -3r = -1r -10 + -1r = -17 + 3r + -3r Combine like terms: 3r + -3r = 0 -10 + -1r = -17 + 0 -10 + -1r = -17 Add '10' to each side of the equation. -10 + 10 + -1r = -17 + 10 Combine like terms: -10 + 10 = 0 0 + -1r = -17 + 10 -1r = -17 + 10 Combine like terms: -17 + 10 = -7 -1r = -7 Divide each side by '-1'. r = 7 Simplifying r = 7
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