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Simplifying -2(-7k + -7) = 2(8k + 11) Reorder the terms: -2(-7 + -7k) = 2(8k + 11) (-7 * -2 + -7k * -2) = 2(8k + 11) (14 + 14k) = 2(8k + 11) Reorder the terms: 14 + 14k = 2(11 + 8k) 14 + 14k = (11 * 2 + 8k * 2) 14 + 14k = (22 + 16k) Solving 14 + 14k = 22 + 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. 14 + 14k + -16k = 22 + 16k + -16k Combine like terms: 14k + -16k = -2k 14 + -2k = 22 + 16k + -16k Combine like terms: 16k + -16k = 0 14 + -2k = 22 + 0 14 + -2k = 22 Add '-14' to each side of the equation. 14 + -14 + -2k = 22 + -14 Combine like terms: 14 + -14 = 0 0 + -2k = 22 + -14 -2k = 22 + -14 Combine like terms: 22 + -14 = 8 -2k = 8 Divide each side by '-2'. k = -4 Simplifying k = -4
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