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Simplifying 10r + -14 = 9r + 17 Reorder the terms: -14 + 10r = 9r + 17 Reorder the terms: -14 + 10r = 17 + 9r Solving -14 + 10r = 17 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -14 + 10r + -9r = 17 + 9r + -9r Combine like terms: 10r + -9r = 1r -14 + 1r = 17 + 9r + -9r Combine like terms: 9r + -9r = 0 -14 + 1r = 17 + 0 -14 + 1r = 17 Add '14' to each side of the equation. -14 + 14 + 1r = 17 + 14 Combine like terms: -14 + 14 = 0 0 + 1r = 17 + 14 1r = 17 + 14 Combine like terms: 17 + 14 = 31 1r = 31 Divide each side by '1'. r = 31 Simplifying r = 31
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