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Simplifying (2r2 + 3t + -9) = 0 Reorder the terms: (-9 + 2r2 + 3t) = 0 Remove parenthesis around (-9 + 2r2 + 3t) -9 + 2r2 + 3t = 0 Solving -9 + 2r2 + 3t = 0 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 + 2r2 + 9 + 3t = 0 + 9 Reorder the terms: -9 + 9 + 2r2 + 3t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2r2 + 3t = 0 + 9 2r2 + 3t = 0 + 9 Combine like terms: 0 + 9 = 9 2r2 + 3t = 9 Add '-3t' to each side of the equation. 2r2 + 3t + -3t = 9 + -3t Combine like terms: 3t + -3t = 0 2r2 + 0 = 9 + -3t 2r2 = 9 + -3t Divide each side by '2'. r2 = 4.5 + -1.5t Simplifying r2 = 4.5 + -1.5t Reorder the terms: -4.5 + r2 + 1.5t = 4.5 + -1.5t + -4.5 + 1.5t Reorder the terms: -4.5 + r2 + 1.5t = 4.5 + -4.5 + -1.5t + 1.5t Combine like terms: 4.5 + -4.5 = 0.0 -4.5 + r2 + 1.5t = 0.0 + -1.5t + 1.5t -4.5 + r2 + 1.5t = -1.5t + 1.5t Combine like terms: -1.5t + 1.5t = 0.0 -4.5 + r2 + 1.5t = 0.0 The solution to this equation could not be determined.
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