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Simplifying -1(k + -1) + 2(-2 + 7k) = 8k + 8k Reorder the terms: -1(-1 + k) + 2(-2 + 7k) = 8k + 8k (-1 * -1 + k * -1) + 2(-2 + 7k) = 8k + 8k (1 + -1k) + 2(-2 + 7k) = 8k + 8k 1 + -1k + (-2 * 2 + 7k * 2) = 8k + 8k 1 + -1k + (-4 + 14k) = 8k + 8k Reorder the terms: 1 + -4 + -1k + 14k = 8k + 8k Combine like terms: 1 + -4 = -3 -3 + -1k + 14k = 8k + 8k Combine like terms: -1k + 14k = 13k -3 + 13k = 8k + 8k Combine like terms: 8k + 8k = 16k -3 + 13k = 16k Solving -3 + 13k = 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. -3 + 13k + -16k = 16k + -16k Combine like terms: 13k + -16k = -3k -3 + -3k = 16k + -16k Combine like terms: 16k + -16k = 0 -3 + -3k = 0 Add '3' to each side of the equation. -3 + 3 + -3k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3k = 0 + 3 -3k = 0 + 3 Combine like terms: 0 + 3 = 3 -3k = 3 Divide each side by '-3'. k = -1 Simplifying k = -1
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