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Simplifying 7r + -5r + 7 = 6r + 7 + -1r Reorder the terms: 7 + 7r + -5r = 6r + 7 + -1r Combine like terms: 7r + -5r = 2r 7 + 2r = 6r + 7 + -1r Reorder the terms: 7 + 2r = 7 + 6r + -1r Combine like terms: 6r + -1r = 5r 7 + 2r = 7 + 5r Add '-7' to each side of the equation. 7 + -7 + 2r = 7 + -7 + 5r Combine like terms: 7 + -7 = 0 0 + 2r = 7 + -7 + 5r 2r = 7 + -7 + 5r Combine like terms: 7 + -7 = 0 2r = 0 + 5r 2r = 5r Solving 2r = 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. 2r + -5r = 5r + -5r Combine like terms: 2r + -5r = -3r -3r = 5r + -5r Combine like terms: 5r + -5r = 0 -3r = 0 Divide each side by '-3'. r = 0 Simplifying r = 0
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