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Simplifying -8(k + 9) + -1(7k + -3) = 16k Reorder the terms: -8(9 + k) + -1(7k + -3) = 16k (9 * -8 + k * -8) + -1(7k + -3) = 16k (-72 + -8k) + -1(7k + -3) = 16k Reorder the terms: -72 + -8k + -1(-3 + 7k) = 16k -72 + -8k + (-3 * -1 + 7k * -1) = 16k -72 + -8k + (3 + -7k) = 16k Reorder the terms: -72 + 3 + -8k + -7k = 16k Combine like terms: -72 + 3 = -69 -69 + -8k + -7k = 16k Combine like terms: -8k + -7k = -15k -69 + -15k = 16k Solving -69 + -15k = 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -69 + -15k + -16k = 16k + -16k Combine like terms: -15k + -16k = -31k -69 + -31k = 16k + -16k Combine like terms: 16k + -16k = 0 -69 + -31k = 0 Add '69' to each side of the equation. -69 + 69 + -31k = 0 + 69 Combine like terms: -69 + 69 = 0 0 + -31k = 0 + 69 -31k = 0 + 69 Combine like terms: 0 + 69 = 69 -31k = 69 Divide each side by '-31'. k = -2.225806452 Simplifying k = -2.225806452
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