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