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Simplifying 3r + -4t + 6r + 7t = 0 Reorder the terms: 3r + 6r + -4t + 7t = 0 Combine like terms: 3r + 6r = 9r 9r + -4t + 7t = 0 Combine like terms: -4t + 7t = 3t 9r + 3t = 0 Solving 9r + 3t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3t' to each side of the equation. 9r + 3t + -3t = 0 + -3t Combine like terms: 3t + -3t = 0 9r + 0 = 0 + -3t 9r = 0 + -3t Remove the zero: 9r = -3t Divide each side by '9'. r = -0.3333333333t Simplifying r = -0.3333333333t
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