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Simplifying 8r + -4r + 2 = 7r + -1r Reorder the terms: 2 + 8r + -4r = 7r + -1r Combine like terms: 8r + -4r = 4r 2 + 4r = 7r + -1r Combine like terms: 7r + -1r = 6r 2 + 4r = 6r Solving 2 + 4r = 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 2 + 4r + -6r = 6r + -6r Combine like terms: 4r + -6r = -2r 2 + -2r = 6r + -6r Combine like terms: 6r + -6r = 0 2 + -2r = 0 Add '-2' to each side of the equation. 2 + -2 + -2r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2r = 0 + -2 -2r = 0 + -2 Combine like terms: 0 + -2 = -2 -2r = -2 Divide each side by '-2'. r = 1 Simplifying r = 1
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