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Simplifying 6(12 + 5r) = 5r + 7(2r + 4) (12 * 6 + 5r * 6) = 5r + 7(2r + 4) (72 + 30r) = 5r + 7(2r + 4) Reorder the terms: 72 + 30r = 5r + 7(4 + 2r) 72 + 30r = 5r + (4 * 7 + 2r * 7) 72 + 30r = 5r + (28 + 14r) Reorder the terms: 72 + 30r = 28 + 5r + 14r Combine like terms: 5r + 14r = 19r 72 + 30r = 28 + 19r Solving 72 + 30r = 28 + 19r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-19r' to each side of the equation. 72 + 30r + -19r = 28 + 19r + -19r Combine like terms: 30r + -19r = 11r 72 + 11r = 28 + 19r + -19r Combine like terms: 19r + -19r = 0 72 + 11r = 28 + 0 72 + 11r = 28 Add '-72' to each side of the equation. 72 + -72 + 11r = 28 + -72 Combine like terms: 72 + -72 = 0 0 + 11r = 28 + -72 11r = 28 + -72 Combine like terms: 28 + -72 = -44 11r = -44 Divide each side by '11'. r = -4 Simplifying r = -4
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