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Simplifying 3(2r + 4) = 6(3r + -18) Reorder the terms: 3(4 + 2r) = 6(3r + -18) (4 * 3 + 2r * 3) = 6(3r + -18) (12 + 6r) = 6(3r + -18) Reorder the terms: 12 + 6r = 6(-18 + 3r) 12 + 6r = (-18 * 6 + 3r * 6) 12 + 6r = (-108 + 18r) Solving 12 + 6r = -108 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. 12 + 6r + -18r = -108 + 18r + -18r Combine like terms: 6r + -18r = -12r 12 + -12r = -108 + 18r + -18r Combine like terms: 18r + -18r = 0 12 + -12r = -108 + 0 12 + -12r = -108 Add '-12' to each side of the equation. 12 + -12 + -12r = -108 + -12 Combine like terms: 12 + -12 = 0 0 + -12r = -108 + -12 -12r = -108 + -12 Combine like terms: -108 + -12 = -120 -12r = -120 Divide each side by '-12'. r = 10 Simplifying r = 10
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