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Simplifying -14 + 9r = 4r + 8 + 7 Reorder the terms: -14 + 9r = 8 + 7 + 4r Combine like terms: 8 + 7 = 15 -14 + 9r = 15 + 4r Solving -14 + 9r = 15 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -14 + 9r + -4r = 15 + 4r + -4r Combine like terms: 9r + -4r = 5r -14 + 5r = 15 + 4r + -4r Combine like terms: 4r + -4r = 0 -14 + 5r = 15 + 0 -14 + 5r = 15 Add '14' to each side of the equation. -14 + 14 + 5r = 15 + 14 Combine like terms: -14 + 14 = 0 0 + 5r = 15 + 14 5r = 15 + 14 Combine like terms: 15 + 14 = 29 5r = 29 Divide each side by '5'. r = 5.8 Simplifying r = 5.8
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