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Simplifying 4r + -5t + 9 = 5t + -9 Reorder the terms: 9 + 4r + -5t = 5t + -9 Reorder the terms: 9 + 4r + -5t = -9 + 5t Solving 9 + 4r + -5t = -9 + 5t 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 = -9 + -9 + 5t Reorder the terms: 9 + -9 + 4r + -5t = -9 + -9 + 5t Combine like terms: 9 + -9 = 0 0 + 4r + -5t = -9 + -9 + 5t 4r + -5t = -9 + -9 + 5t Combine like terms: -9 + -9 = -18 4r + -5t = -18 + 5t Add '5t' to each side of the equation. 4r + -5t + 5t = -18 + 5t + 5t Combine like terms: -5t + 5t = 0 4r + 0 = -18 + 5t + 5t 4r = -18 + 5t + 5t Combine like terms: 5t + 5t = 10t 4r = -18 + 10t Divide each side by '4'. r = -4.5 + 2.5t Simplifying r = -4.5 + 2.5t
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