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Simplifying 3t + -9r + 3(2r + 5t) = 0 3t + -9r + (2r * 3 + 5t * 3) = 0 3t + -9r + (6r + 15t) = 0 Reorder the terms: -9r + 6r + 3t + 15t = 0 Combine like terms: -9r + 6r = -3r -3r + 3t + 15t = 0 Combine like terms: 3t + 15t = 18t -3r + 18t = 0 Solving -3r + 18t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18t' to each side of the equation. -3r + 18t + -18t = 0 + -18t Combine like terms: 18t + -18t = 0 -3r + 0 = 0 + -18t -3r = 0 + -18t Remove the zero: -3r = -18t Divide each side by '-3'. r = 6t Simplifying r = 6t
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