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Simplifying 2t + -3r + 8 = 3r + -8 Reorder the terms: 8 + -3r + 2t = 3r + -8 Reorder the terms: 8 + -3r + 2t = -8 + 3r Solving 8 + -3r + 2t = -8 + 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. 8 + -3r + -3r + 2t = -8 + 3r + -3r Combine like terms: -3r + -3r = -6r 8 + -6r + 2t = -8 + 3r + -3r Combine like terms: 3r + -3r = 0 8 + -6r + 2t = -8 + 0 8 + -6r + 2t = -8 Add '-8' to each side of the equation. 8 + -6r + -8 + 2t = -8 + -8 Reorder the terms: 8 + -8 + -6r + 2t = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -6r + 2t = -8 + -8 -6r + 2t = -8 + -8 Combine like terms: -8 + -8 = -16 -6r + 2t = -16 Add '-2t' to each side of the equation. -6r + 2t + -2t = -16 + -2t Combine like terms: 2t + -2t = 0 -6r + 0 = -16 + -2t -6r = -16 + -2t Divide each side by '-6'. r = 2.666666667 + 0.3333333333t Simplifying r = 2.666666667 + 0.3333333333t
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