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Simplifying 8r + -4r + 6 = 7r + -1r Reorder the terms: 6 + 8r + -4r = 7r + -1r Combine like terms: 8r + -4r = 4r 6 + 4r = 7r + -1r Combine like terms: 7r + -1r = 6r 6 + 4r = 6r Solving 6 + 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. 6 + 4r + -6r = 6r + -6r Combine like terms: 4r + -6r = -2r 6 + -2r = 6r + -6r Combine like terms: 6r + -6r = 0 6 + -2r = 0 Add '-6' to each side of the equation. 6 + -6 + -2r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2r = 0 + -6 -2r = 0 + -6 Combine like terms: 0 + -6 = -6 -2r = -6 Divide each side by '-2'. r = 3 Simplifying r = 3
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