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Simplifying -4k + 7 = -5 + 2(-6 + -8k) Reorder the terms: 7 + -4k = -5 + 2(-6 + -8k) 7 + -4k = -5 + (-6 * 2 + -8k * 2) 7 + -4k = -5 + (-12 + -16k) Combine like terms: -5 + -12 = -17 7 + -4k = -17 + -16k Solving 7 + -4k = -17 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. 7 + -4k + 16k = -17 + -16k + 16k Combine like terms: -4k + 16k = 12k 7 + 12k = -17 + -16k + 16k Combine like terms: -16k + 16k = 0 7 + 12k = -17 + 0 7 + 12k = -17 Add '-7' to each side of the equation. 7 + -7 + 12k = -17 + -7 Combine like terms: 7 + -7 = 0 0 + 12k = -17 + -7 12k = -17 + -7 Combine like terms: -17 + -7 = -24 12k = -24 Divide each side by '12'. k = -2 Simplifying k = -2
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