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Simplifying -6r + 11(r + 3) = 4(r + 6) Reorder the terms: -6r + 11(3 + r) = 4(r + 6) -6r + (3 * 11 + r * 11) = 4(r + 6) -6r + (33 + 11r) = 4(r + 6) Reorder the terms: 33 + -6r + 11r = 4(r + 6) Combine like terms: -6r + 11r = 5r 33 + 5r = 4(r + 6) Reorder the terms: 33 + 5r = 4(6 + r) 33 + 5r = (6 * 4 + r * 4) 33 + 5r = (24 + 4r) Solving 33 + 5r = 24 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 33 + 5r + -4r = 24 + 4r + -4r Combine like terms: 5r + -4r = 1r 33 + 1r = 24 + 4r + -4r Combine like terms: 4r + -4r = 0 33 + 1r = 24 + 0 33 + 1r = 24 Add '-33' to each side of the equation. 33 + -33 + 1r = 24 + -33 Combine like terms: 33 + -33 = 0 0 + 1r = 24 + -33 1r = 24 + -33 Combine like terms: 24 + -33 = -9 1r = -9 Divide each side by '1'. r = -9 Simplifying r = -9
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