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Simplifying 7r + -5r + 2 = 5r + 2 + -1r Reorder the terms: 2 + 7r + -5r = 5r + 2 + -1r Combine like terms: 7r + -5r = 2r 2 + 2r = 5r + 2 + -1r Reorder the terms: 2 + 2r = 2 + 5r + -1r Combine like terms: 5r + -1r = 4r 2 + 2r = 2 + 4r Add '-2' to each side of the equation. 2 + -2 + 2r = 2 + -2 + 4r Combine like terms: 2 + -2 = 0 0 + 2r = 2 + -2 + 4r 2r = 2 + -2 + 4r Combine like terms: 2 + -2 = 0 2r = 0 + 4r 2r = 4r Solving 2r = 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 2r + -4r = 4r + -4r Combine like terms: 2r + -4r = -2r -2r = 4r + -4r Combine like terms: 4r + -4r = 0 -2r = 0 Divide each side by '-2'. r = 0 Simplifying r = 0
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