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Simplifying 8 + 3r = r + 12 + -6 Reorder the terms: 8 + 3r = 12 + -6 + r Combine like terms: 12 + -6 = 6 8 + 3r = 6 + r Solving 8 + 3r = 6 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 8 + 3r + -1r = 6 + r + -1r Combine like terms: 3r + -1r = 2r 8 + 2r = 6 + r + -1r Combine like terms: r + -1r = 0 8 + 2r = 6 + 0 8 + 2r = 6 Add '-8' to each side of the equation. 8 + -8 + 2r = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 2r = 6 + -8 2r = 6 + -8 Combine like terms: 6 + -8 = -2 2r = -2 Divide each side by '2'. r = -1 Simplifying r = -1
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