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Simplifying 5r + 6t = 3r + -2 Reorder the terms: 5r + 6t = -2 + 3r Solving 5r + 6t = -2 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 5r + -3r + 6t = -2 + 3r + -3r Combine like terms: 5r + -3r = 2r 2r + 6t = -2 + 3r + -3r Combine like terms: 3r + -3r = 0 2r + 6t = -2 + 0 2r + 6t = -2 Add '-6t' to each side of the equation. 2r + 6t + -6t = -2 + -6t Combine like terms: 6t + -6t = 0 2r + 0 = -2 + -6t 2r = -2 + -6t Divide each side by '2'. r = -1 + -3t Simplifying r = -1 + -3t
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