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Simplifying 6r + 2 = 12 + r Reorder the terms: 2 + 6r = 12 + r Solving 2 + 6r = 12 + 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. 2 + 6r + -1r = 12 + r + -1r Combine like terms: 6r + -1r = 5r 2 + 5r = 12 + r + -1r Combine like terms: r + -1r = 0 2 + 5r = 12 + 0 2 + 5r = 12 Add '-2' to each side of the equation. 2 + -2 + 5r = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5r = 12 + -2 5r = 12 + -2 Combine like terms: 12 + -2 = 10 5r = 10 Divide each side by '5'. r = 2 Simplifying r = 2
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