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Simplifying -7 + -4(-2k + -7) = 85 Reorder the terms: -7 + -4(-7 + -2k) = 85 -7 + (-7 * -4 + -2k * -4) = 85 -7 + (28 + 8k) = 85 Combine like terms: -7 + 28 = 21 21 + 8k = 85 Solving 21 + 8k = 85 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 8k = 85 + -21 Combine like terms: 21 + -21 = 0 0 + 8k = 85 + -21 8k = 85 + -21 Combine like terms: 85 + -21 = 64 8k = 64 Divide each side by '8'. k = 8 Simplifying k = 8
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