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Simplifying 3(3r + 6) = 2(3r + -6) Reorder the terms: 3(6 + 3r) = 2(3r + -6) (6 * 3 + 3r * 3) = 2(3r + -6) (18 + 9r) = 2(3r + -6) Reorder the terms: 18 + 9r = 2(-6 + 3r) 18 + 9r = (-6 * 2 + 3r * 2) 18 + 9r = (-12 + 6r) Solving 18 + 9r = -12 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 18 + 9r + -6r = -12 + 6r + -6r Combine like terms: 9r + -6r = 3r 18 + 3r = -12 + 6r + -6r Combine like terms: 6r + -6r = 0 18 + 3r = -12 + 0 18 + 3r = -12 Add '-18' to each side of the equation. 18 + -18 + 3r = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 3r = -12 + -18 3r = -12 + -18 Combine like terms: -12 + -18 = -30 3r = -30 Divide each side by '3'. r = -10 Simplifying r = -10
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