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Simplifying 7r + -9 = 15 + 3r Reorder the terms: -9 + 7r = 15 + 3r Solving -9 + 7r = 15 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -9 + 7r + -3r = 15 + 3r + -3r Combine like terms: 7r + -3r = 4r -9 + 4r = 15 + 3r + -3r Combine like terms: 3r + -3r = 0 -9 + 4r = 15 + 0 -9 + 4r = 15 Add '9' to each side of the equation. -9 + 9 + 4r = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 4r = 15 + 9 4r = 15 + 9 Combine like terms: 15 + 9 = 24 4r = 24 Divide each side by '4'. r = 6 Simplifying r = 6
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