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Simplifying 8 + -3r = 3r + 2 Reorder the terms: 8 + -3r = 2 + 3r Solving 8 + -3r = 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. 8 + -3r + -3r = 2 + 3r + -3r Combine like terms: -3r + -3r = -6r 8 + -6r = 2 + 3r + -3r Combine like terms: 3r + -3r = 0 8 + -6r = 2 + 0 8 + -6r = 2 Add '-8' to each side of the equation. 8 + -8 + -6r = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -6r = 2 + -8 -6r = 2 + -8 Combine like terms: 2 + -8 = -6 -6r = -6 Divide each side by '-6'. r = 1 Simplifying r = 1
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