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Simplifying 10r + 22 = 14 + 4r + 5r Reorder the terms: 22 + 10r = 14 + 4r + 5r Combine like terms: 4r + 5r = 9r 22 + 10r = 14 + 9r Solving 22 + 10r = 14 + 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. 22 + 10r + -9r = 14 + 9r + -9r Combine like terms: 10r + -9r = 1r 22 + 1r = 14 + 9r + -9r Combine like terms: 9r + -9r = 0 22 + 1r = 14 + 0 22 + 1r = 14 Add '-22' to each side of the equation. 22 + -22 + 1r = 14 + -22 Combine like terms: 22 + -22 = 0 0 + 1r = 14 + -22 1r = 14 + -22 Combine like terms: 14 + -22 = -8 1r = -8 Divide each side by '1'. r = -8 Simplifying r = -8
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