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Simplifying 3r + 7t + -5r + 3t = 0 Reorder the terms: 3r + -5r + 7t + 3t = 0 Combine like terms: 3r + -5r = -2r -2r + 7t + 3t = 0 Combine like terms: 7t + 3t = 10t -2r + 10t = 0 Solving -2r + 10t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10t' to each side of the equation. -2r + 10t + -10t = 0 + -10t Combine like terms: 10t + -10t = 0 -2r + 0 = 0 + -10t -2r = 0 + -10t Remove the zero: -2r = -10t Divide each side by '-2'. r = 5t Simplifying r = 5t
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