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Simplifying -13 + 2r + 2 + -1r = 1 + 4r Reorder the terms: -13 + 2 + 2r + -1r = 1 + 4r Combine like terms: -13 + 2 = -11 -11 + 2r + -1r = 1 + 4r Combine like terms: 2r + -1r = 1r -11 + 1r = 1 + 4r Solving -11 + 1r = 1 + 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. -11 + 1r + -4r = 1 + 4r + -4r Combine like terms: 1r + -4r = -3r -11 + -3r = 1 + 4r + -4r Combine like terms: 4r + -4r = 0 -11 + -3r = 1 + 0 -11 + -3r = 1 Add '11' to each side of the equation. -11 + 11 + -3r = 1 + 11 Combine like terms: -11 + 11 = 0 0 + -3r = 1 + 11 -3r = 1 + 11 Combine like terms: 1 + 11 = 12 -3r = 12 Divide each side by '-3'. r = -4 Simplifying r = -4
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