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Simplifying -7k + -31 = 2(2 + 8k) Reorder the terms: -31 + -7k = 2(2 + 8k) -31 + -7k = (2 * 2 + 8k * 2) -31 + -7k = (4 + 16k) Solving -31 + -7k = 4 + 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. -31 + -7k + -16k = 4 + 16k + -16k Combine like terms: -7k + -16k = -23k -31 + -23k = 4 + 16k + -16k Combine like terms: 16k + -16k = 0 -31 + -23k = 4 + 0 -31 + -23k = 4 Add '31' to each side of the equation. -31 + 31 + -23k = 4 + 31 Combine like terms: -31 + 31 = 0 0 + -23k = 4 + 31 -23k = 4 + 31 Combine like terms: 4 + 31 = 35 -23k = 35 Divide each side by '-23'. k = -1.52173913 Simplifying k = -1.52173913
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