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Simplifying 3r + 2(4r + 2) = 2(6r + 1) Reorder the terms: 3r + 2(2 + 4r) = 2(6r + 1) 3r + (2 * 2 + 4r * 2) = 2(6r + 1) 3r + (4 + 8r) = 2(6r + 1) Reorder the terms: 4 + 3r + 8r = 2(6r + 1) Combine like terms: 3r + 8r = 11r 4 + 11r = 2(6r + 1) Reorder the terms: 4 + 11r = 2(1 + 6r) 4 + 11r = (1 * 2 + 6r * 2) 4 + 11r = (2 + 12r) Solving 4 + 11r = 2 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 4 + 11r + -12r = 2 + 12r + -12r Combine like terms: 11r + -12r = -1r 4 + -1r = 2 + 12r + -12r Combine like terms: 12r + -12r = 0 4 + -1r = 2 + 0 4 + -1r = 2 Add '-4' to each side of the equation. 4 + -4 + -1r = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 2 + -4 -1r = 2 + -4 Combine like terms: 2 + -4 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2
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