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Simplifying -19 + 13r + 17 = 14r + -11 Reorder the terms: -19 + 17 + 13r = 14r + -11 Combine like terms: -19 + 17 = -2 -2 + 13r = 14r + -11 Reorder the terms: -2 + 13r = -11 + 14r Solving -2 + 13r = -11 + 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. -2 + 13r + -14r = -11 + 14r + -14r Combine like terms: 13r + -14r = -1r -2 + -1r = -11 + 14r + -14r Combine like terms: 14r + -14r = 0 -2 + -1r = -11 + 0 -2 + -1r = -11 Add '2' to each side of the equation. -2 + 2 + -1r = -11 + 2 Combine like terms: -2 + 2 = 0 0 + -1r = -11 + 2 -1r = -11 + 2 Combine like terms: -11 + 2 = -9 -1r = -9 Divide each side by '-1'. r = 9 Simplifying r = 9
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