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Simplifying -6(3 + -12r) = 11r + -6(r + -3) (3 * -6 + -12r * -6) = 11r + -6(r + -3) (-18 + 72r) = 11r + -6(r + -3) Reorder the terms: -18 + 72r = 11r + -6(-3 + r) -18 + 72r = 11r + (-3 * -6 + r * -6) -18 + 72r = 11r + (18 + -6r) Reorder the terms: -18 + 72r = 18 + 11r + -6r Combine like terms: 11r + -6r = 5r -18 + 72r = 18 + 5r Solving -18 + 72r = 18 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -18 + 72r + -5r = 18 + 5r + -5r Combine like terms: 72r + -5r = 67r -18 + 67r = 18 + 5r + -5r Combine like terms: 5r + -5r = 0 -18 + 67r = 18 + 0 -18 + 67r = 18 Add '18' to each side of the equation. -18 + 18 + 67r = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 67r = 18 + 18 67r = 18 + 18 Combine like terms: 18 + 18 = 36 67r = 36 Divide each side by '67'. r = 0.5373134328 Simplifying r = 0.5373134328
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