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Simplifying -2(1 + 8k) = 2(8 + -7k) (1 * -2 + 8k * -2) = 2(8 + -7k) (-2 + -16k) = 2(8 + -7k) -2 + -16k = (8 * 2 + -7k * 2) -2 + -16k = (16 + -14k) Solving -2 + -16k = 16 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -2 + -16k + 14k = 16 + -14k + 14k Combine like terms: -16k + 14k = -2k -2 + -2k = 16 + -14k + 14k Combine like terms: -14k + 14k = 0 -2 + -2k = 16 + 0 -2 + -2k = 16 Add '2' to each side of the equation. -2 + 2 + -2k = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -2k = 16 + 2 -2k = 16 + 2 Combine like terms: 16 + 2 = 18 -2k = 18 Divide each side by '-2'. k = -9 Simplifying k = -9
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