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Simplifying -1(-4k + -7) + 5 = -12 Reorder the terms: -1(-7 + -4k) + 5 = -12 (-7 * -1 + -4k * -1) + 5 = -12 (7 + 4k) + 5 = -12 Reorder the terms: 7 + 5 + 4k = -12 Combine like terms: 7 + 5 = 12 12 + 4k = -12 Solving 12 + 4k = -12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4k = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 4k = -12 + -12 4k = -12 + -12 Combine like terms: -12 + -12 = -24 4k = -24 Divide each side by '4'. k = -6 Simplifying k = -6
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