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Simplifying -15 + 9r = 4r + 8 + 7 Reorder the terms: -15 + 9r = 8 + 7 + 4r Combine like terms: 8 + 7 = 15 -15 + 9r = 15 + 4r Solving -15 + 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. -15 + 9r + -4r = 15 + 4r + -4r Combine like terms: 9r + -4r = 5r -15 + 5r = 15 + 4r + -4r Combine like terms: 4r + -4r = 0 -15 + 5r = 15 + 0 -15 + 5r = 15 Add '15' to each side of the equation. -15 + 15 + 5r = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 5r = 15 + 15 5r = 15 + 15 Combine like terms: 15 + 15 = 30 5r = 30 Divide each side by '5'. r = 6 Simplifying r = 6
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