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Simplifying -11 + -11(r + -7) = -8 + 10(6 + -1r) Reorder the terms: -11 + -11(-7 + r) = -8 + 10(6 + -1r) -11 + (-7 * -11 + r * -11) = -8 + 10(6 + -1r) -11 + (77 + -11r) = -8 + 10(6 + -1r) Combine like terms: -11 + 77 = 66 66 + -11r = -8 + 10(6 + -1r) 66 + -11r = -8 + (6 * 10 + -1r * 10) 66 + -11r = -8 + (60 + -10r) Combine like terms: -8 + 60 = 52 66 + -11r = 52 + -10r Solving 66 + -11r = 52 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. 66 + -11r + 10r = 52 + -10r + 10r Combine like terms: -11r + 10r = -1r 66 + -1r = 52 + -10r + 10r Combine like terms: -10r + 10r = 0 66 + -1r = 52 + 0 66 + -1r = 52 Add '-66' to each side of the equation. 66 + -66 + -1r = 52 + -66 Combine like terms: 66 + -66 = 0 0 + -1r = 52 + -66 -1r = 52 + -66 Combine like terms: 52 + -66 = -14 -1r = -14 Divide each side by '-1'. r = 14 Simplifying r = 14
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