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Simplifying 5r + 6 = 14r + -13 Reorder the terms: 6 + 5r = 14r + -13 Reorder the terms: 6 + 5r = -13 + 14r Solving 6 + 5r = -13 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. 6 + 5r + -14r = -13 + 14r + -14r Combine like terms: 5r + -14r = -9r 6 + -9r = -13 + 14r + -14r Combine like terms: 14r + -14r = 0 6 + -9r = -13 + 0 6 + -9r = -13 Add '-6' to each side of the equation. 6 + -6 + -9r = -13 + -6 Combine like terms: 6 + -6 = 0 0 + -9r = -13 + -6 -9r = -13 + -6 Combine like terms: -13 + -6 = -19 -9r = -19 Divide each side by '-9'. r = 2.111111111 Simplifying r = 2.111111111
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