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Simplifying -8(k + 3) + -1(7k + -8) = 16k Reorder the terms: -8(3 + k) + -1(7k + -8) = 16k (3 * -8 + k * -8) + -1(7k + -8) = 16k (-24 + -8k) + -1(7k + -8) = 16k Reorder the terms: -24 + -8k + -1(-8 + 7k) = 16k -24 + -8k + (-8 * -1 + 7k * -1) = 16k -24 + -8k + (8 + -7k) = 16k Reorder the terms: -24 + 8 + -8k + -7k = 16k Combine like terms: -24 + 8 = -16 -16 + -8k + -7k = 16k Combine like terms: -8k + -7k = -15k -16 + -15k = 16k Solving -16 + -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. -16 + -15k + -16k = 16k + -16k Combine like terms: -15k + -16k = -31k -16 + -31k = 16k + -16k Combine like terms: 16k + -16k = 0 -16 + -31k = 0 Add '16' to each side of the equation. -16 + 16 + -31k = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -31k = 0 + 16 -31k = 0 + 16 Combine like terms: 0 + 16 = 16 -31k = 16 Divide each side by '-31'. k = -0.5161290323 Simplifying k = -0.5161290323
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