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Simplifying -8(4 + 9r) = 7(-2 + -11r) (4 * -8 + 9r * -8) = 7(-2 + -11r) (-32 + -72r) = 7(-2 + -11r) -32 + -72r = (-2 * 7 + -11r * 7) -32 + -72r = (-14 + -77r) Solving -32 + -72r = -14 + -77r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '77r' to each side of the equation. -32 + -72r + 77r = -14 + -77r + 77r Combine like terms: -72r + 77r = 5r -32 + 5r = -14 + -77r + 77r Combine like terms: -77r + 77r = 0 -32 + 5r = -14 + 0 -32 + 5r = -14 Add '32' to each side of the equation. -32 + 32 + 5r = -14 + 32 Combine like terms: -32 + 32 = 0 0 + 5r = -14 + 32 5r = -14 + 32 Combine like terms: -14 + 32 = 18 5r = 18 Divide each side by '5'. r = 3.6 Simplifying r = 3.6
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