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Simplifying 2r + 5t + 71 = 7 Reorder the terms: 71 + 2r + 5t = 7 Solving 71 + 2r + 5t = 7 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-71' to each side of the equation. 71 + 2r + -71 + 5t = 7 + -71 Reorder the terms: 71 + -71 + 2r + 5t = 7 + -71 Combine like terms: 71 + -71 = 0 0 + 2r + 5t = 7 + -71 2r + 5t = 7 + -71 Combine like terms: 7 + -71 = -64 2r + 5t = -64 Add '-5t' to each side of the equation. 2r + 5t + -5t = -64 + -5t Combine like terms: 5t + -5t = 0 2r + 0 = -64 + -5t 2r = -64 + -5t Divide each side by '2'. r = -32 + -2.5t Simplifying r = -32 + -2.5t
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