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Simplifying -15 + -1k = -8(1 + k) -15 + -1k = (1 * -8 + k * -8) -15 + -1k = (-8 + -8k) Solving -15 + -1k = -8 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -15 + -1k + 8k = -8 + -8k + 8k Combine like terms: -1k + 8k = 7k -15 + 7k = -8 + -8k + 8k Combine like terms: -8k + 8k = 0 -15 + 7k = -8 + 0 -15 + 7k = -8 Add '15' to each side of the equation. -15 + 15 + 7k = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 7k = -8 + 15 7k = -8 + 15 Combine like terms: -8 + 15 = 7 7k = 7 Divide each side by '7'. k = 1 Simplifying k = 1
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