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Simplifying r + -9 = 19 + -1r Reorder the terms: -9 + r = 19 + -1r Solving -9 + r = 19 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -9 + r + r = 19 + -1r + r Combine like terms: r + r = 2r -9 + 2r = 19 + -1r + r Combine like terms: -1r + r = 0 -9 + 2r = 19 + 0 -9 + 2r = 19 Add '9' to each side of the equation. -9 + 9 + 2r = 19 + 9 Combine like terms: -9 + 9 = 0 0 + 2r = 19 + 9 2r = 19 + 9 Combine like terms: 19 + 9 = 28 2r = 28 Divide each side by '2'. r = 14 Simplifying r = 14
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