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Simplifying 6(2 + 3r) = 9 + r (2 * 6 + 3r * 6) = 9 + r (12 + 18r) = 9 + r Solving 12 + 18r = 9 + 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. 12 + 18r + -1r = 9 + r + -1r Combine like terms: 18r + -1r = 17r 12 + 17r = 9 + r + -1r Combine like terms: r + -1r = 0 12 + 17r = 9 + 0 12 + 17r = 9 Add '-12' to each side of the equation. 12 + -12 + 17r = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 17r = 9 + -12 17r = 9 + -12 Combine like terms: 9 + -12 = -3 17r = -3 Divide each side by '17'. r = -0.1764705882 Simplifying r = -0.1764705882
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