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Simplifying 4r + -5t + 9 = 5 + -9 Reorder the terms: 9 + 4r + -5t = 5 + -9 Combine like terms: 5 + -9 = -4 9 + 4r + -5t = -4 Solving 9 + 4r + -5t = -4 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 4r + -9 + -5t = -4 + -9 Reorder the terms: 9 + -9 + 4r + -5t = -4 + -9 Combine like terms: 9 + -9 = 0 0 + 4r + -5t = -4 + -9 4r + -5t = -4 + -9 Combine like terms: -4 + -9 = -13 4r + -5t = -13 Add '5t' to each side of the equation. 4r + -5t + 5t = -13 + 5t Combine like terms: -5t + 5t = 0 4r + 0 = -13 + 5t 4r = -13 + 5t Divide each side by '4'. r = -3.25 + 1.25t Simplifying r = -3.25 + 1.25t
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