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Simplifying 3r + 7t + -5r + 3t = 6r + 2t Reorder the terms: 3r + -5r + 7t + 3t = 6r + 2t Combine like terms: 3r + -5r = -2r -2r + 7t + 3t = 6r + 2t Combine like terms: 7t + 3t = 10t -2r + 10t = 6r + 2t Solving -2r + 10t = 6r + 2t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -2r + -6r + 10t = 6r + -6r + 2t Combine like terms: -2r + -6r = -8r -8r + 10t = 6r + -6r + 2t Combine like terms: 6r + -6r = 0 -8r + 10t = 0 + 2t -8r + 10t = 2t Add '-10t' to each side of the equation. -8r + 10t + -10t = 2t + -10t Combine like terms: 10t + -10t = 0 -8r + 0 = 2t + -10t -8r = 2t + -10t Combine like terms: 2t + -10t = -8t -8r = -8t Divide each side by '-8'. r = t Simplifying r = t
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