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Simplifying 7(-1k + -8) = -32 + k Reorder the terms: 7(-8 + -1k) = -32 + k (-8 * 7 + -1k * 7) = -32 + k (-56 + -7k) = -32 + k Solving -56 + -7k = -32 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -56 + -7k + -1k = -32 + k + -1k Combine like terms: -7k + -1k = -8k -56 + -8k = -32 + k + -1k Combine like terms: k + -1k = 0 -56 + -8k = -32 + 0 -56 + -8k = -32 Add '56' to each side of the equation. -56 + 56 + -8k = -32 + 56 Combine like terms: -56 + 56 = 0 0 + -8k = -32 + 56 -8k = -32 + 56 Combine like terms: -32 + 56 = 24 -8k = 24 Divide each side by '-8'. k = -3 Simplifying k = -3
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