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Simplifying 18k + 11(-9k + -7) = 0 Reorder the terms: 18k + 11(-7 + -9k) = 0 18k + (-7 * 11 + -9k * 11) = 0 18k + (-77 + -99k) = 0 Reorder the terms: -77 + 18k + -99k = 0 Combine like terms: 18k + -99k = -81k -77 + -81k = 0 Solving -77 + -81k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + -81k = 0 + 77 Combine like terms: -77 + 77 = 0 0 + -81k = 0 + 77 -81k = 0 + 77 Combine like terms: 0 + 77 = 77 -81k = 77 Divide each side by '-81'. k = -0.950617284 Simplifying k = -0.950617284
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