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Simplifying 13 + -8r + -17 = 8r + 20 + -4r Reorder the terms: 13 + -17 + -8r = 8r + 20 + -4r Combine like terms: 13 + -17 = -4 -4 + -8r = 8r + 20 + -4r Reorder the terms: -4 + -8r = 20 + 8r + -4r Combine like terms: 8r + -4r = 4r -4 + -8r = 20 + 4r Solving -4 + -8r = 20 + 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. -4 + -8r + -4r = 20 + 4r + -4r Combine like terms: -8r + -4r = -12r -4 + -12r = 20 + 4r + -4r Combine like terms: 4r + -4r = 0 -4 + -12r = 20 + 0 -4 + -12r = 20 Add '4' to each side of the equation. -4 + 4 + -12r = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -12r = 20 + 4 -12r = 20 + 4 Combine like terms: 20 + 4 = 24 -12r = 24 Divide each side by '-12'. r = -2 Simplifying r = -2
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