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Simplifying -1(4 + 9r) = 7(-2 + -11r) (4 * -1 + 9r * -1) = 7(-2 + -11r) (-4 + -9r) = 7(-2 + -11r) -4 + -9r = (-2 * 7 + -11r * 7) -4 + -9r = (-14 + -77r) Solving -4 + -9r = -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. -4 + -9r + 77r = -14 + -77r + 77r Combine like terms: -9r + 77r = 68r -4 + 68r = -14 + -77r + 77r Combine like terms: -77r + 77r = 0 -4 + 68r = -14 + 0 -4 + 68r = -14 Add '4' to each side of the equation. -4 + 4 + 68r = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 68r = -14 + 4 68r = -14 + 4 Combine like terms: -14 + 4 = -10 68r = -10 Divide each side by '68'. r = -0.1470588235 Simplifying r = -0.1470588235
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