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Simplifying 12 + 6r = 2(7r + 2) Reorder the terms: 12 + 6r = 2(2 + 7r) 12 + 6r = (2 * 2 + 7r * 2) 12 + 6r = (4 + 14r) Solving 12 + 6r = 4 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. 12 + 6r + -14r = 4 + 14r + -14r Combine like terms: 6r + -14r = -8r 12 + -8r = 4 + 14r + -14r Combine like terms: 14r + -14r = 0 12 + -8r = 4 + 0 12 + -8r = 4 Add '-12' to each side of the equation. 12 + -12 + -8r = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -8r = 4 + -12 -8r = 4 + -12 Combine like terms: 4 + -12 = -8 -8r = -8 Divide each side by '-8'. r = 1 Simplifying r = 1
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