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Simplifying -17 + -12r + 8r = 1 + r + -8r Combine like terms: -12r + 8r = -4r -17 + -4r = 1 + r + -8r Combine like terms: r + -8r = -7r -17 + -4r = 1 + -7r Solving -17 + -4r = 1 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -17 + -4r + 7r = 1 + -7r + 7r Combine like terms: -4r + 7r = 3r -17 + 3r = 1 + -7r + 7r Combine like terms: -7r + 7r = 0 -17 + 3r = 1 + 0 -17 + 3r = 1 Add '17' to each side of the equation. -17 + 17 + 3r = 1 + 17 Combine like terms: -17 + 17 = 0 0 + 3r = 1 + 17 3r = 1 + 17 Combine like terms: 1 + 17 = 18 3r = 18 Divide each side by '3'. r = 6 Simplifying r = 6
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