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Simplifying 2x + -5 + -1r = 13 + 2r Reorder the terms: -5 + -1r + 2x = 13 + 2r Solving -5 + -1r + 2x = 13 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -5 + -1r + -2r + 2x = 13 + 2r + -2r Combine like terms: -1r + -2r = -3r -5 + -3r + 2x = 13 + 2r + -2r Combine like terms: 2r + -2r = 0 -5 + -3r + 2x = 13 + 0 -5 + -3r + 2x = 13 Add '5' to each side of the equation. -5 + -3r + 5 + 2x = 13 + 5 Reorder the terms: -5 + 5 + -3r + 2x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -3r + 2x = 13 + 5 -3r + 2x = 13 + 5 Combine like terms: 13 + 5 = 18 -3r + 2x = 18 Add '-2x' to each side of the equation. -3r + 2x + -2x = 18 + -2x Combine like terms: 2x + -2x = 0 -3r + 0 = 18 + -2x -3r = 18 + -2x Divide each side by '-3'. r = -6 + 0.6666666667x Simplifying r = -6 + 0.6666666667x
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