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Simplifying 13 + -5r + -14 = 8r + 13 + -6r Reorder the terms: 13 + -14 + -5r = 8r + 13 + -6r Combine like terms: 13 + -14 = -1 -1 + -5r = 8r + 13 + -6r Reorder the terms: -1 + -5r = 13 + 8r + -6r Combine like terms: 8r + -6r = 2r -1 + -5r = 13 + 2r Solving -1 + -5r = 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. -1 + -5r + -2r = 13 + 2r + -2r Combine like terms: -5r + -2r = -7r -1 + -7r = 13 + 2r + -2r Combine like terms: 2r + -2r = 0 -1 + -7r = 13 + 0 -1 + -7r = 13 Add '1' to each side of the equation. -1 + 1 + -7r = 13 + 1 Combine like terms: -1 + 1 = 0 0 + -7r = 13 + 1 -7r = 13 + 1 Combine like terms: 13 + 1 = 14 -7r = 14 Divide each side by '-7'. r = -2 Simplifying r = -2
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