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Simplifying 8(2 + -2k) = -7k + 34 (2 * 8 + -2k * 8) = -7k + 34 (16 + -16k) = -7k + 34 Reorder the terms: 16 + -16k = 34 + -7k Solving 16 + -16k = 34 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 16 + -16k + 7k = 34 + -7k + 7k Combine like terms: -16k + 7k = -9k 16 + -9k = 34 + -7k + 7k Combine like terms: -7k + 7k = 0 16 + -9k = 34 + 0 16 + -9k = 34 Add '-16' to each side of the equation. 16 + -16 + -9k = 34 + -16 Combine like terms: 16 + -16 = 0 0 + -9k = 34 + -16 -9k = 34 + -16 Combine like terms: 34 + -16 = 18 -9k = 18 Divide each side by '-9'. k = -2 Simplifying k = -2
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