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Simplifying 2r + -3t + 8 = 3t + -8 Reorder the terms: 8 + 2r + -3t = 3t + -8 Reorder the terms: 8 + 2r + -3t = -8 + 3t Solving 8 + 2r + -3t = -8 + 3t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2r + -8 + -3t = -8 + -8 + 3t Reorder the terms: 8 + -8 + 2r + -3t = -8 + -8 + 3t Combine like terms: 8 + -8 = 0 0 + 2r + -3t = -8 + -8 + 3t 2r + -3t = -8 + -8 + 3t Combine like terms: -8 + -8 = -16 2r + -3t = -16 + 3t Add '3t' to each side of the equation. 2r + -3t + 3t = -16 + 3t + 3t Combine like terms: -3t + 3t = 0 2r + 0 = -16 + 3t + 3t 2r = -16 + 3t + 3t Combine like terms: 3t + 3t = 6t 2r = -16 + 6t Divide each side by '2'. r = -8 + 3t Simplifying r = -8 + 3t
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