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Simplifying -15 + k = -8(8 + -1k) -15 + k = (8 * -8 + -1k * -8) -15 + k = (-64 + 8k) Solving -15 + k = -64 + 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 + k + -8k = -64 + 8k + -8k Combine like terms: k + -8k = -7k -15 + -7k = -64 + 8k + -8k Combine like terms: 8k + -8k = 0 -15 + -7k = -64 + 0 -15 + -7k = -64 Add '15' to each side of the equation. -15 + 15 + -7k = -64 + 15 Combine like terms: -15 + 15 = 0 0 + -7k = -64 + 15 -7k = -64 + 15 Combine like terms: -64 + 15 = -49 -7k = -49 Divide each side by '-7'. k = 7 Simplifying k = 7
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