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Simplifying -8(k + -8) + -1(7k + -8) = -16k Reorder the terms: -8(-8 + k) + -1(7k + -8) = -16k (-8 * -8 + k * -8) + -1(7k + -8) = -16k (64 + -8k) + -1(7k + -8) = -16k Reorder the terms: 64 + -8k + -1(-8 + 7k) = -16k 64 + -8k + (-8 * -1 + 7k * -1) = -16k 64 + -8k + (8 + -7k) = -16k Reorder the terms: 64 + 8 + -8k + -7k = -16k Combine like terms: 64 + 8 = 72 72 + -8k + -7k = -16k Combine like terms: -8k + -7k = -15k 72 + -15k = -16k Solving 72 + -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. 72 + -15k + 16k = -16k + 16k Combine like terms: -15k + 16k = 1k 72 + 1k = -16k + 16k Combine like terms: -16k + 16k = 0 72 + 1k = 0 Add '-72' to each side of the equation. 72 + -72 + 1k = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 1k = 0 + -72 1k = 0 + -72 Combine like terms: 0 + -72 = -72 1k = -72 Divide each side by '1'. k = -72 Simplifying k = -72
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