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Simplifying 17 + -5r + 9r = -12 + 6r + -1 Combine like terms: -5r + 9r = 4r 17 + 4r = -12 + 6r + -1 Reorder the terms: 17 + 4r = -12 + -1 + 6r Combine like terms: -12 + -1 = -13 17 + 4r = -13 + 6r Solving 17 + 4r = -13 + 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. 17 + 4r + -6r = -13 + 6r + -6r Combine like terms: 4r + -6r = -2r 17 + -2r = -13 + 6r + -6r Combine like terms: 6r + -6r = 0 17 + -2r = -13 + 0 17 + -2r = -13 Add '-17' to each side of the equation. 17 + -17 + -2r = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -2r = -13 + -17 -2r = -13 + -17 Combine like terms: -13 + -17 = -30 -2r = -30 Divide each side by '-2'. r = 15 Simplifying r = 15
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