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Simplifying -5 + -1(k + 7) = -4(k + -6) Reorder the terms: -5 + -1(7 + k) = -4(k + -6) -5 + (7 * -1 + k * -1) = -4(k + -6) -5 + (-7 + -1k) = -4(k + -6) Combine like terms: -5 + -7 = -12 -12 + -1k = -4(k + -6) Reorder the terms: -12 + -1k = -4(-6 + k) -12 + -1k = (-6 * -4 + k * -4) -12 + -1k = (24 + -4k) Solving -12 + -1k = 24 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -12 + -1k + 4k = 24 + -4k + 4k Combine like terms: -1k + 4k = 3k -12 + 3k = 24 + -4k + 4k Combine like terms: -4k + 4k = 0 -12 + 3k = 24 + 0 -12 + 3k = 24 Add '12' to each side of the equation. -12 + 12 + 3k = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 3k = 24 + 12 3k = 24 + 12 Combine like terms: 24 + 12 = 36 3k = 36 Divide each side by '3'. k = 12 Simplifying k = 12
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