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Simplifying -8[7k + -8] + -7 = -55 Reorder the terms: -8[-8 + 7k] + -7 = -55 [-8 * -8 + 7k * -8] + -7 = -55 [64 + -56k] + -7 = -55 Reorder the terms: 64 + -7 + -56k = -55 Combine like terms: 64 + -7 = 57 57 + -56k = -55 Solving 57 + -56k = -55 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -56k = -55 + -57 Combine like terms: 57 + -57 = 0 0 + -56k = -55 + -57 -56k = -55 + -57 Combine like terms: -55 + -57 = -112 -56k = -112 Divide each side by '-56'. k = 2 Simplifying k = 2
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