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Simplifying 8r + -1r + 36 = 6 + 2r Reorder the terms: 36 + 8r + -1r = 6 + 2r Combine like terms: 8r + -1r = 7r 36 + 7r = 6 + 2r Solving 36 + 7r = 6 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 36 + 7r + -2r = 6 + 2r + -2r Combine like terms: 7r + -2r = 5r 36 + 5r = 6 + 2r + -2r Combine like terms: 2r + -2r = 0 36 + 5r = 6 + 0 36 + 5r = 6 Add '-36' to each side of the equation. 36 + -36 + 5r = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 5r = 6 + -36 5r = 6 + -36 Combine like terms: 6 + -36 = -30 5r = -30 Divide each side by '5'. r = -6 Simplifying r = -6
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