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Simplifying -13 + -4 = -7 + 6(r + -8) + -11 Combine like terms: -13 + -4 = -17 -17 = -7 + 6(r + -8) + -11 Reorder the terms: -17 = -7 + 6(-8 + r) + -11 -17 = -7 + (-8 * 6 + r * 6) + -11 -17 = -7 + (-48 + 6r) + -11 Reorder the terms: -17 = -7 + -48 + -11 + 6r Combine like terms: -7 + -48 = -55 -17 = -55 + -11 + 6r Combine like terms: -55 + -11 = -66 -17 = -66 + 6r Solving -17 = -66 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -17 + -6r = -66 + 6r + -6r Combine like terms: 6r + -6r = 0 -17 + -6r = -66 + 0 -17 + -6r = -66 Add '17' to each side of the equation. -17 + 17 + -6r = -66 + 17 Combine like terms: -17 + 17 = 0 0 + -6r = -66 + 17 -6r = -66 + 17 Combine like terms: -66 + 17 = -49 -6r = -49 Divide each side by '-6'. r = 8.166666667 Simplifying r = 8.166666667
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