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Simplifying -6(r + -11) + -10 = 34 Reorder the terms: -6(-11 + r) + -10 = 34 (-11 * -6 + r * -6) + -10 = 34 (66 + -6r) + -10 = 34 Reorder the terms: 66 + -10 + -6r = 34 Combine like terms: 66 + -10 = 56 56 + -6r = 34 Solving 56 + -6r = 34 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -6r = 34 + -56 Combine like terms: 56 + -56 = 0 0 + -6r = 34 + -56 -6r = 34 + -56 Combine like terms: 34 + -56 = -22 -6r = -22 Divide each side by '-6'. r = 3.666666667 Simplifying r = 3.666666667
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