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Simplifying 6r2 + 21t + -12 = 0 Reorder the terms: -12 + 6r2 + 21t = 0 Solving -12 + 6r2 + 21t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 6r2 + 12 + 21t = 0 + 12 Reorder the terms: -12 + 12 + 6r2 + 21t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6r2 + 21t = 0 + 12 6r2 + 21t = 0 + 12 Combine like terms: 0 + 12 = 12 6r2 + 21t = 12 Add '-21t' to each side of the equation. 6r2 + 21t + -21t = 12 + -21t Combine like terms: 21t + -21t = 0 6r2 + 0 = 12 + -21t 6r2 = 12 + -21t Divide each side by '6'. r2 = 2 + -3.5t Simplifying r2 = 2 + -3.5t Reorder the terms: -2 + r2 + 3.5t = 2 + -3.5t + -2 + 3.5t Reorder the terms: -2 + r2 + 3.5t = 2 + -2 + -3.5t + 3.5t Combine like terms: 2 + -2 = 0 -2 + r2 + 3.5t = 0 + -3.5t + 3.5t -2 + r2 + 3.5t = -3.5t + 3.5t Combine like terms: -3.5t + 3.5t = 0.0 -2 + r2 + 3.5t = 0.0 The solution to this equation could not be determined.
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