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Simplifying -9(7k + 8) = 33 + -4k Reorder the terms: -9(8 + 7k) = 33 + -4k (8 * -9 + 7k * -9) = 33 + -4k (-72 + -63k) = 33 + -4k Solving -72 + -63k = 33 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -72 + -63k + 4k = 33 + -4k + 4k Combine like terms: -63k + 4k = -59k -72 + -59k = 33 + -4k + 4k Combine like terms: -4k + 4k = 0 -72 + -59k = 33 + 0 -72 + -59k = 33 Add '72' to each side of the equation. -72 + 72 + -59k = 33 + 72 Combine like terms: -72 + 72 = 0 0 + -59k = 33 + 72 -59k = 33 + 72 Combine like terms: 33 + 72 = 105 -59k = 105 Divide each side by '-59'. k = -1.779661017 Simplifying k = -1.779661017
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