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Simplifying (t + -5) + (2r + 1) = 0 Reorder the terms: (-5 + t) + (2r + 1) = 0 Remove parenthesis around (-5 + t) -5 + t + (2r + 1) = 0 Reorder the terms: -5 + t + (1 + 2r) = 0 Remove parenthesis around (1 + 2r) -5 + t + 1 + 2r = 0 Reorder the terms: -5 + 1 + 2r + t = 0 Combine like terms: -5 + 1 = -4 -4 + 2r + t = 0 Solving -4 + 2r + t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2r + 4 + t = 0 + 4 Reorder the terms: -4 + 4 + 2r + t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2r + t = 0 + 4 2r + t = 0 + 4 Combine like terms: 0 + 4 = 4 2r + t = 4 Add '-1t' to each side of the equation. 2r + t + -1t = 4 + -1t Combine like terms: t + -1t = 0 2r + 0 = 4 + -1t 2r = 4 + -1t Divide each side by '2'. r = 2 + -0.5t Simplifying r = 2 + -0.5t
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