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Simplifying 8 + 2r + -2 = 9r + 12 + -5r Reorder the terms: 8 + -2 + 2r = 9r + 12 + -5r Combine like terms: 8 + -2 = 6 6 + 2r = 9r + 12 + -5r Reorder the terms: 6 + 2r = 12 + 9r + -5r Combine like terms: 9r + -5r = 4r 6 + 2r = 12 + 4r Solving 6 + 2r = 12 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 6 + 2r + -4r = 12 + 4r + -4r Combine like terms: 2r + -4r = -2r 6 + -2r = 12 + 4r + -4r Combine like terms: 4r + -4r = 0 6 + -2r = 12 + 0 6 + -2r = 12 Add '-6' to each side of the equation. 6 + -6 + -2r = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -2r = 12 + -6 -2r = 12 + -6 Combine like terms: 12 + -6 = 6 -2r = 6 Divide each side by '-2'. r = -3 Simplifying r = -3
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