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Simplifying 6r + 2 + -14r = -7r + -17 Reorder the terms: 2 + 6r + -14r = -7r + -17 Combine like terms: 6r + -14r = -8r 2 + -8r = -7r + -17 Reorder the terms: 2 + -8r = -17 + -7r Solving 2 + -8r = -17 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 2 + -8r + 7r = -17 + -7r + 7r Combine like terms: -8r + 7r = -1r 2 + -1r = -17 + -7r + 7r Combine like terms: -7r + 7r = 0 2 + -1r = -17 + 0 2 + -1r = -17 Add '-2' to each side of the equation. 2 + -2 + -1r = -17 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = -17 + -2 -1r = -17 + -2 Combine like terms: -17 + -2 = -19 -1r = -19 Divide each side by '-1'. r = 19 Simplifying r = 19
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