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Simplifying -6(-3r + -11) = 13r + -10 + 9r Reorder the terms: -6(-11 + -3r) = 13r + -10 + 9r (-11 * -6 + -3r * -6) = 13r + -10 + 9r (66 + 18r) = 13r + -10 + 9r Reorder the terms: 66 + 18r = -10 + 13r + 9r Combine like terms: 13r + 9r = 22r 66 + 18r = -10 + 22r Solving 66 + 18r = -10 + 22r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-22r' to each side of the equation. 66 + 18r + -22r = -10 + 22r + -22r Combine like terms: 18r + -22r = -4r 66 + -4r = -10 + 22r + -22r Combine like terms: 22r + -22r = 0 66 + -4r = -10 + 0 66 + -4r = -10 Add '-66' to each side of the equation. 66 + -66 + -4r = -10 + -66 Combine like terms: 66 + -66 = 0 0 + -4r = -10 + -66 -4r = -10 + -66 Combine like terms: -10 + -66 = -76 -4r = -76 Divide each side by '-4'. r = 19 Simplifying r = 19
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