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Simplifying 7k + -14 = 3(1 + 8k) Reorder the terms: -14 + 7k = 3(1 + 8k) -14 + 7k = (1 * 3 + 8k * 3) -14 + 7k = (3 + 24k) Solving -14 + 7k = 3 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. -14 + 7k + -24k = 3 + 24k + -24k Combine like terms: 7k + -24k = -17k -14 + -17k = 3 + 24k + -24k Combine like terms: 24k + -24k = 0 -14 + -17k = 3 + 0 -14 + -17k = 3 Add '14' to each side of the equation. -14 + 14 + -17k = 3 + 14 Combine like terms: -14 + 14 = 0 0 + -17k = 3 + 14 -17k = 3 + 14 Combine like terms: 3 + 14 = 17 -17k = 17 Divide each side by '-17'. k = -1 Simplifying k = -1
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