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Simplifying 6r + 2(r + 6) = 39 + -1r Reorder the terms: 6r + 2(6 + r) = 39 + -1r 6r + (6 * 2 + r * 2) = 39 + -1r 6r + (12 + 2r) = 39 + -1r Reorder the terms: 12 + 6r + 2r = 39 + -1r Combine like terms: 6r + 2r = 8r 12 + 8r = 39 + -1r Solving 12 + 8r = 39 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 12 + 8r + r = 39 + -1r + r Combine like terms: 8r + r = 9r 12 + 9r = 39 + -1r + r Combine like terms: -1r + r = 0 12 + 9r = 39 + 0 12 + 9r = 39 Add '-12' to each side of the equation. 12 + -12 + 9r = 39 + -12 Combine like terms: 12 + -12 = 0 0 + 9r = 39 + -12 9r = 39 + -12 Combine like terms: 39 + -12 = 27 9r = 27 Divide each side by '9'. r = 3 Simplifying r = 3
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