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Simplifying 5 + 2r + -2 = 5r + 10 + -2r Reorder the terms: 5 + -2 + 2r = 5r + 10 + -2r Combine like terms: 5 + -2 = 3 3 + 2r = 5r + 10 + -2r Reorder the terms: 3 + 2r = 10 + 5r + -2r Combine like terms: 5r + -2r = 3r 3 + 2r = 10 + 3r Solving 3 + 2r = 10 + 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. 3 + 2r + -3r = 10 + 3r + -3r Combine like terms: 2r + -3r = -1r 3 + -1r = 10 + 3r + -3r Combine like terms: 3r + -3r = 0 3 + -1r = 10 + 0 3 + -1r = 10 Add '-3' to each side of the equation. 3 + -3 + -1r = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 10 + -3 -1r = 10 + -3 Combine like terms: 10 + -3 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7
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