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Simplifying 27(-3k + -8) = -7 + -34 Reorder the terms: 27(-8 + -3k) = -7 + -34 (-8 * 27 + -3k * 27) = -7 + -34 (-216 + -81k) = -7 + -34 Combine like terms: -7 + -34 = -41 -216 + -81k = -41 Solving -216 + -81k = -41 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '216' to each side of the equation. -216 + 216 + -81k = -41 + 216 Combine like terms: -216 + 216 = 0 0 + -81k = -41 + 216 -81k = -41 + 216 Combine like terms: -41 + 216 = 175 -81k = 175 Divide each side by '-81'. k = -2.160493827 Simplifying k = -2.160493827
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