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Simplifying -29 + -7k = 2(k + 8) Reorder the terms: -29 + -7k = 2(8 + k) -29 + -7k = (8 * 2 + k * 2) -29 + -7k = (16 + 2k) Solving -29 + -7k = 16 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -29 + -7k + -2k = 16 + 2k + -2k Combine like terms: -7k + -2k = -9k -29 + -9k = 16 + 2k + -2k Combine like terms: 2k + -2k = 0 -29 + -9k = 16 + 0 -29 + -9k = 16 Add '29' to each side of the equation. -29 + 29 + -9k = 16 + 29 Combine like terms: -29 + 29 = 0 0 + -9k = 16 + 29 -9k = 16 + 29 Combine like terms: 16 + 29 = 45 -9k = 45 Divide each side by '-9'. k = -5 Simplifying k = -5
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