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Simplifying 7r + 4t = 3r + 9 Reorder the terms: 7r + 4t = 9 + 3r Solving 7r + 4t = 9 + 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. 7r + -3r + 4t = 9 + 3r + -3r Combine like terms: 7r + -3r = 4r 4r + 4t = 9 + 3r + -3r Combine like terms: 3r + -3r = 0 4r + 4t = 9 + 0 4r + 4t = 9 Add '-4t' to each side of the equation. 4r + 4t + -4t = 9 + -4t Combine like terms: 4t + -4t = 0 4r + 0 = 9 + -4t 4r = 9 + -4t Divide each side by '4'. r = 2.25 + -1t Simplifying r = 2.25 + -1t
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