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Simplifying -81 = 7(1 + r) + 4r -81 = (1 * 7 + r * 7) + 4r -81 = (7 + 7r) + 4r Combine like terms: 7r + 4r = 11r -81 = 7 + 11r Solving -81 = 7 + 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. -81 + -11r = 7 + 11r + -11r Combine like terms: 11r + -11r = 0 -81 + -11r = 7 + 0 -81 + -11r = 7 Add '81' to each side of the equation. -81 + 81 + -11r = 7 + 81 Combine like terms: -81 + 81 = 0 0 + -11r = 7 + 81 -11r = 7 + 81 Combine like terms: 7 + 81 = 88 -11r = 88 Divide each side by '-11'. r = -8 Simplifying r = -8
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