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Simplifying 9t + -6r + 2(2r + 6t) = 0 9t + -6r + (2r * 2 + 6t * 2) = 0 9t + -6r + (4r + 12t) = 0 Reorder the terms: -6r + 4r + 9t + 12t = 0 Combine like terms: -6r + 4r = -2r -2r + 9t + 12t = 0 Combine like terms: 9t + 12t = 21t -2r + 21t = 0 Solving -2r + 21t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21t' to each side of the equation. -2r + 21t + -21t = 0 + -21t Combine like terms: 21t + -21t = 0 -2r + 0 = 0 + -21t -2r = 0 + -21t Remove the zero: -2r = -21t Divide each side by '-2'. r = 10.5t Simplifying r = 10.5t
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