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Simplifying -5(r + -6) + -7 = 11 + r Reorder the terms: -5(-6 + r) + -7 = 11 + r (-6 * -5 + r * -5) + -7 = 11 + r (30 + -5r) + -7 = 11 + r Reorder the terms: 30 + -7 + -5r = 11 + r Combine like terms: 30 + -7 = 23 23 + -5r = 11 + r Solving 23 + -5r = 11 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 23 + -5r + -1r = 11 + r + -1r Combine like terms: -5r + -1r = -6r 23 + -6r = 11 + r + -1r Combine like terms: r + -1r = 0 23 + -6r = 11 + 0 23 + -6r = 11 Add '-23' to each side of the equation. 23 + -23 + -6r = 11 + -23 Combine like terms: 23 + -23 = 0 0 + -6r = 11 + -23 -6r = 11 + -23 Combine like terms: 11 + -23 = -12 -6r = -12 Divide each side by '-6'. r = 2 Simplifying r = 2
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