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Simplifying 2(r + 6) = 5r Reorder the terms: 2(6 + r) = 5r (6 * 2 + r * 2) = 5r (12 + 2r) = 5r Solving 12 + 2r = 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 12 + 2r + -5r = 5r + -5r Combine like terms: 2r + -5r = -3r 12 + -3r = 5r + -5r Combine like terms: 5r + -5r = 0 12 + -3r = 0 Add '-12' to each side of the equation. 12 + -12 + -3r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3r = 0 + -12 -3r = 0 + -12 Combine like terms: 0 + -12 = -12 -3r = -12 Divide each side by '-3'. r = 4 Simplifying r = 4
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