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Simplifying 8 + 7k = 8(1 + 3k) 8 + 7k = (1 * 8 + 3k * 8) 8 + 7k = (8 + 24k) Add '-8' to each side of the equation. 8 + -8 + 7k = 8 + -8 + 24k Combine like terms: 8 + -8 = 0 0 + 7k = 8 + -8 + 24k 7k = 8 + -8 + 24k Combine like terms: 8 + -8 = 0 7k = 0 + 24k 7k = 24k Solving 7k = 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. 7k + -24k = 24k + -24k Combine like terms: 7k + -24k = -17k -17k = 24k + -24k Combine like terms: 24k + -24k = 0 -17k = 0 Divide each side by '-17'. k = 0 Simplifying k = 0
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